This bucket (check out the image above) has ridges in the bottom. Instead of dipping your mop back into water with floaties (technical term) into it, the crud and dirt sinks to the bottom and falls between the grooves. Although you might have dingy water, it isn't near as dirty as a traditional bucket would leave you with.
Now, a single bucket does my whole floor and with the sturdy grip on back and spout up front, it doesn't even slosh in the sink. Can you tell I'm excited? I've officially geeked out over a bucket (there could be a self help book for such things), but it's important. Did I mention it's made from recycled plastic? Even better. Keep your eye out for them in stores near you or you can pick them up online for $12.99 at the Container Store.
(Image: Sarah Rae Trover)