This is just a quicky, but it's a tip I picked up a long time ago while tending a friend's bed and breakfast. It works well for me because my kitchen is not large, so drawer space in particular is at a premium making organization critical.
The trick is this: roll your dish towels. You may have learned from packing for a long trip that more clothes fit in your suitcase if they are rolled up. Dish towels are the same way. Here are two pics... one of my drawer before I rolled my towels, the other after.
Not only does it save space, but for some reason it impresses people that come over and see it. Happy rolling!