This question is right up my alley. I have my own garden and work with a couple of community gardens.
I am growing several varities of peppers -, bell, sweet banana, jalapeno and a few others. Cucumbers, tomatoes, eggplant, zucchini, basil and corn are all planted. Zucchini's great, you get tons of it and it grows easily from seed.
The key to growing vegetables is soil and organic matter. Compost is key to gardening, it replenishes the soil with necessary nutrients. We also use fish emulsion. Stinks to hell, but is very good and is organic. Make your own compost pile, turn it weekly. Alternate leaves/grass, water and watch it decompose. Of course, down here it does so much more quickly due to the temps.
Keep weeds out, they sap nutrients. It cannot be stressed enough, you must amend your soil or your veggies won't grow as well as they could. We have crappy soil down here in Texas, it's clay where I am - tends to get like concrete if not amended and turned constantly.
Tomatoes - it's good to snip off the lower few branches when you plant them. Give more nutrients to upper areas. Plant them deeply, down to first branch.
Peppers - don't strangle them. Unlike tomatoes, they don't like the turtleneck effect of compost right up against their stems. Plant them and pat the soil down.
Happy growing!