to be honest I wouldn't cover the window at all, your kitchen looks a bit dark (maybe it is only a photo), if there is privacy problem or the view is just not pleasant why not try window films?
http://www.apartmenttherapy.com/ny/window-coverings/adhesive-window-film-by-emma-jeffs-028017

http://slowly--surely.blogspot.com/

Window film or an Ikea enje blind would be the best options I think.

I once made a valence for a kitchen window out of a couple of dense tea towels that I bought at world market. All I did was sew a rod pocket in the width of the curtain bar, I didn't even sew the towels together.
It was enough to frame the window, in colors that coordinated with my kitchen. And because the towels were durable, I could wash them if they started to get gross.

Hope this helps

Thanks so far for your suggestions! I am going to take a look at the films. The photo is not a photo of my kitchen. My kitchen actually has a lot more light. I'd like to cover the window basically out of privacy. I live on the South Shore of Long Island and while in a good neighborhood, I don't like that anyone can see into my house. I will check out the IKEA blind also but am leaning toward the flour sack/tea towel idea so that I can wash them. My window is literally right next to the stove and my ventilation is not great, in fact, it is usually achieved by opening the window!

Am I missing a link to a bigger picture?

I use a small cafe curtain rod, and those little alligator clip hooks. I bought some kitchen towels at Crate and Barrel because they were really big and heavy (for kitchen towels). Two of them hung vertically cover my window. I bought them in different colors and they are super easy to wash.

I just bought some Emma Jeffs Moroccan tile film off of Design Public (http://www.designpublic.com/shop/emma-jeffs/11046) for a small window in my bath. I love how it looks and have plenty left if any one wants to buy the leftovers- I would be glad to get dimensions, let me know:)

I'm imagining putting up some simple rods - even just dowels - and using the curtain rings with small clips to be able to put up the fabric of your choice. I would opt for something that can be machine washed in warm/hot water so that you can get grease out easily. Make 2 or 3 sets so you can rotate and wash them every few weeks.

The picture is way to small to deduce anything...

The picture shown is not my kitchen, it is a stock photo.

Tea towels are a good idea...otherwise I think hanging your utensils rather than an actual curtain is cute.

I think a tea towel would be good - with alligator clips looks great and lets light in around all the edges. Lookie here: http://www.yourwishcake.com/2009/07/on-little-bit-of-decorating.html

I don't know how close your window is to your stove but cloth hanging close to your stove could be a hazard. If you need something fabric to soften, I might go with a faux roman shade (lots of tutes on these, prewash fabric & use velcro to attach so you can wash) or the film - Ive used it on tiny bathroom windows and doorlights with good results. If you want to go super quick & dirty - I used to tack tracing paper up for "frosted" glass or my thrifty grandma used to make lacy snowflakes out of thin napkins for small windows :)

"I've already had blinds (yuck and super dirty...was bleaching and hosing off weekly). "

You had to bleach and hose off your blinds on a weekly basis? What was getting on them, grease? Regardless of the window treatment you chose, you might consider the functions in your kitchen that are kicking up the goo that was landing on your blinds. Maybe a better exhaust system? Are the filters in your AC/heat system due to be replaced?

No one should have to bleach and hose off blinds on a weekly basis. A little dusting as maintenance, perhaps. Something is up in your kitchen.

Hate to quibble...but what's the use of rewarding a question linked to a picture (as in the question is listed first) when you accept a stock picture? The picture should help illuminate the question.

AT, the stock photo is worthless.

I am the person who posted the question and never provided a photo (sorry), not AT's fault...they were just trying to give a visual. OK, so the frequency of washing was a bit exaggerated but greasy blinds put me in a bad mood. The vigorous washing of blinds occurred on a frequent basis this past winter because of general cooking, I don't do vast amounts of frying of any kind. Grease would get on the blinds and then dust would attach to grease. I am aware that I need a new stove and ventilation...I rent from a family member, lack the funds myself to do the renovation, and my landlord (a relative) is not ready to do this either.

I do want to thank everyone for their kind and concerned suggestions...all will be explored! While the window is close to the stove it not so close that it is a fire hazard. Apologies again for not providing a photograph.

The flour sack sounds like a great idea - I too have an issue around the stove with general dinginess no matter how hard I scrub, so I love the idea of being able to change and wash them easily. Since it is a window by the stove, I would do a simple test for flamability- if a breeze caught your curtain, could the fabric reach an open flame? If so, you might go with a window film instead of a curtain...