The cool thing about composting/recycling is that it can be carried out in a small space. You can even worm compost with a Rubbermaid container in an apartment. Check out this page for information on starting a compost pile, what can/can't be put in the compost pile, and setting up worm composting.
Worm composting is another way to break down food scraps and requires relatively little space. This is a good composting method for people who live in apartments and/or have limited space. Learn how to set up and maintain a worm composting bin.