Jeanette, welcome to the world of veggie gardening. There are lots of great books, but your best resource is your local feed and seed store owner. Now, I don't mean Home Depot - I mean a real farmer's feed and seed store. You may have to travel a bit - depending on how far into the city you live, but its worth it. He (or she) can tell you what the local pros are planting, and when to plant. They can suggest the right plants and seeds for the area.
Also, be careful with a small garden. If your garden is too small, you spend more on building it then you get out of it.
Here are a few "simple" living tips.
Mulch with newspapers you collect from friends, then overlay with chopped leaves you rake from your, and your neighbors' yards. (Free)
Contact local stables for cheap manure. (I pay $10 to have the stable owner load my truck with his tractor. If I shovel it myself, its FREE.)
Find a wild bamboo patch. The canes make great stakes. (Free)
Check local garbage collection stations for used fencing and other potential useful items. (Free)
Ask the local tree trimmers to dump a load of ground trees near your garden. (usually FREE if they are working in the area.)
Build a three sided compost bin from cement blocks. Add veggie matter, egg shells and coffee grounds. (Free)
Save and collect plastic milk jugs. During drought, fill the jugs with water. Poke tiny holes in the cap and the bottom so that just a tiny dribble escapes. Place next to your tomato plants.
Place a banana peel under each tomato plant when you plant it.