I make a point—and my husband is really good at helping me with this—of not using paper as much as I can in the kitchen. When I wash my fruits and vegetables, I started drying them with cloth towels because the towels can always go in the wash. Obviously, you're going to use water in your wash, but you're going to do your wash anyway. So we don't have as much waste.
I also use cloth napkins every day—it's not a luxury. Buy eight cloth napkins, use them every day and just wash them instead of using paper napkins. You can buy really inexpensive cloth napkins and use them as towels and for every meal. I find that really cuts down on waste.