Your floors have a reddish/orangeish undertone. If you paint the walls a white with a faint hint of green or blue, you'll knock down those undertones a bit.

If you paint the walls a warm white, your floors will look even redder, by contrast.

If you're going to paint the entire large space white, you'll have to define the space through your choice of carpets, furniture arrangement and use of art. Choose some large-scale art pieces for those long blank walls.

Here's a good example of what I mean:

http://www.houzz.com/photos/848022/Laurelhurst-House-modern-living-room-seattle

Definitely a warm white, but I think it also needs other work to address the cold look of the space, as every surface appears shiny and hard (although I do note a toddler's toy out the window, which probably limits options on the floor and low-level areas). Such as:
- Some big pictures or mirrors on the wall
- Pelmets above the blinds in a white but heavily textured material
- An oversize focus light fitting above the dining room
- Some floating shelves on the walls, displaying some bold pieces (above toddler height)

Have a look at the texture and visual interest in some of these rooms:

http://www.apartmenttherapy.com/paint-color-portfolio-pale-gray-living-rooms-178769?img_idx=2

http://www.apartmenttherapy.com/beautiful-black-furniture-color-roundup-173101

Or this toddler friendly renovation (note the high shelves!)

http://www.apartmenttherapy.com/from-scary-to-sublime-a-gorgeous-gut-renovation-in-australia-170995

Congrats to such a nice space! It allready looks great as is. It will even look better painted white.
Paint it a real white (for me, that is the only white I consider to be white), it will look awesome with your floors and furniture.
I love it how having ceiling and wals painted the same white softes the corers. When different in color, the edges look much harsher.
You can allways add color with things you love.

There is a great color called Monterrey White. I think it's Benjamin Moore. When I worked in an architecture firm, we used it in our office renovation and it's a very warm color.

Warm white: it won't be too white once you put art, rugs and furniture in it. It will be a neutral canvas to add onto!

I vote for Benjamin Moore Cloud White. I think it will look beautiful in your home.

I can show you what it will look like. Click the link to see what this room will look like dark grey/black - <img src="http://i50.tinypic.com/s1t5pf.jpg" border="0" alt="Image and video hosting by TinyPic">Check it out!

I never guess when it comes to white. Always try out a few before committing.

China White (cool) and White Dove (warm) make beautiful all-white rooms. I bet white dove would work.

Try out your paints in the daytime, and bring lamps in there to test out the color (just using those overhead lights wont do the color any favors).

I don't think cool white will knock down the reddish tones in the floor, I think it will just clash. There's nothing wrong with reddish tones in wood, IMO. It's natural.

If the space doesn't get much light that means there will probably be artificial light much of the time; and when you most use the dining room, in the evening, all the time. I'd paint large poster boards, one with cool and one with warm white; and see how your lighting affects them.

Yellow lights (which I like - I like warm) will make the cooler whites look sickly.

My vote is warm white. But if you're tempted by cool, please check it out under lights first!

You don't say whether you are north or south of the mason-dixon line, but I'm assuming from the view of the pool...south. Or at least in a warmish place I would go with a cool white, though one that "reads" as white.

Agree, though, with the commenter above who advised trying several out.

If you do go warm here's a plug for Atrium White, my fave Benjamin Moore white.

I second BM Cloud White. For the ceilings do Cloud White at 50%. It looks beautiful.

If the current light blue colour isn't knocking down the red I fail to see how cool white will.

I think the biggest mistake people make with color is to just choose a color they love or that someone else uses to good effect. It's not just exposure, but the shape of rooms, the size of windows, what the light bounces off of outside etc. that affect whether a color works.

Right now it looks as if your walls are blue or green and the ceiling has a pinkish tinge - thought that could be reflection off the floor, which is quite red. That means floor and walls are at opposite ends of the color spectrum. Do you like the effect?

It's essential that you choose a color that works with your floor, because it is a strong element in the room. Get the Benjamin Moore brochure on whites - I think it's called Gentle Whites or something like that, tape it open on the wall and study it throughout the day and evening. It's surprising how much you can tell from just a small swatch. Put a pencil line across any color that doesn't work in even one light condition. After a while, there won't be many left to choose from. Then, buy a sample pot (Benjamin Moore will do a pint in any color) from one or two remaining colors that you like best and try them on the wall.

BTW Donald Kaufmann, who is considered one of the top colorists in the country, suggests using several whites in an all white room. He says a warm white (with a yellow undertone) for the walls, a cool white (with a blue or grey undertone ) for the trim and a white with a touch of pink for the ceiling. That way you get a sense of completeness and complexity because all the primary colors are reference.

Do you prefer warm, sunny summer light or cool winter light?

Like doesn't work.

Pure white would solve the dilemna. All white is great in a small space, although some would disagree. Your place looks huge. Rather than going all white, why not some dark colour? Bluish charcoal is usually a nice match for reddish wood. Your fireplace is off-centered. Painting the whole fireplace wall, including the fireplace in that colour could solve that. You could try painting the whole windowed wall which would warm up the place and give the dining area some character. Pale picture frames on a dark wall create a few bright spots which would give the illusion of additional windows. Thanks for letting me have fun with this. Great place.

from skidou: I should have written paint the whole windowed wall in the same charcoal.

Your choice of warm or cool paint would really depend on what else is going into the room, wouldn't it? Is there any upholstered furniture whose fabric you're committed to? There's no point in painting the room a fresh bluish white if that's just going to make a buff-colored sofa look dingy and dirty.

The western exposure of the windows isn't going to make cool white a necessity or warm white too suffocating, or vice versa. The paint is far more likely to fight with the subtones of your furnishings than with the sunlight, which changes from minute to minute and from day to day anyway.

It's cheaper to match the paint to the fabrics and finishes of your furniture than it is to pick the perfect paint color and then adjust all your upholstery to suit it.

I got the tip that mixing a tiny bit of pink tint into white will make everyone in the room look prettier. So that's what I did in my large hallway. I asked the store to mix the whitest white they could and add just a bit of pink. It is whiter than the colour they use in art galleries, noone can see the pink, and I'm really satisfied - looking good when I look in the mirror before leaving in the morning.

Whatever colour you pick I suggest you take a good look at the ceiling and paint that as well if it isn't very fresh looking. It's really easy and quick to paint ceilings but a ton of covering to do if you want to do it separately from the walls later on.

Some really great posts here on how to solve your color dilemma-- It takes me weeks to pick color sometimes depending on the room, light and time of year.
Personally, when I look at your room it makes me feel chilly -- white wouldn't be my first choice, unless you were going to add a lot of texture and depth with art, textiles, etc..
If you're dead set on white, have you considered breaking up the walls with a board and batten or wainscoting or a picture rail? You could then have the best of both worlds..depending on what you like. Color on top, light on bottom...Feels like the room is a bit cavernous and flat.

You have wall-washer lights. If they have cool-color bulbs, then putting warm-white on the walls may result in muddy colors (and vice versa - but the bulbs look cool-colored.) Consider testing wall color with different light bulbs instead of paint.