Have you thought about container gardening?
If you can grow it in the ground, chances are it can be successfully grown in a container. And you need not use those expensive containers so many gardening magazines and garden centers are trying to sell you. There are so many other alternatives that WORK WELL! Possibly some of these might help you:
1. Find an old tire and fill it with good, rich soil.
2. Create a raised bed of piled up flat stones or wood and fill with good, rich soil.
3. Look at everything you currently have or can acquire as a possible source for a garden or mini-garden. Some of the things I have grown vegetables and/or flowers in include an old enamel sink (sunk in the ground and holes drilled for drainage), old enamel dishpans, above ground round metal rings from discarded swimming pools, old straw broad-brimmed hats and old plastic garbage cans. All you want is something to hold your soil and your plants ~ I have even seen flowers planted in old discarded boots and coffeepots! Whatever you have already might be just the ticket ~ cut it down or bury it to the level you want.
4. You can turn that hard, red clay you have now into sumptuous black earth with time and a good compost pile. There are many sites on the internet for tips and hints on constructing, starting and maintaining a good, viable compost pile, and they don't cost a thing. Amending your soil (improving what you have now) via compost is like finding black gold!
5. Be on the watch this spring for garage sales, swap meets, gardening exhibitions or just friendly neighbors who will give or sell you (cheaply, of course!) starts or propagated plants for your garden. Local garden clubs are also another great outlet for advice and free stuff. Another is to check NOW with your local school district to see if they have a horticulture class in their curriculum, and if so, when their plant sale will be. This resource remains one of the single biggest money saving venues for this frugal gardener. I have purchased tomato plants, brocolli, pepper plants, cabbage plants, all kinds of annuals (by the flat or tray) and a myriad of house plants as well as beautiful hanging basket arrangements from local high school horticulture classes in four different states.
Be resourceful and look for what you have already that will work. Happy Gardening!

Sandie