Have you heard of vermiposting? Very popular in Canada and Austrailia, particularly for city dwellers. The bins people use can be the trash can you’re using of some retail available ones of plastic, and generally small enough to fit in the kitchen. It’s a very fast and oderless composting method using worms.
The resulting "vermipost" is what most people use in their gardens. If you let the worms sork to completion it’s mostly worm castings which make great conpost-tea and are a marvelous soil additive. A friend of mine sells it to high-end gardeners for about $7/pound, so doing it yourself is the way to go. Photos and stories of my vermiposting at http://www.compostcritter.com.