Googling around.
Cherry tomatoes are easy for beginners. They produce abundantly and ripen quickly. Sun Gold is a really tasty orange one that I highly recommend.
Squash and zucchini can be grown in pots with a support to help them grow up instead of trailing along the ground. A large tomato cage works well for this. You will need to train the plant by forcing it up into the cage when it tries to grow sideways. You can cook with the male (no fruit attached) flowers while you wait for your squash to grow. Do leave some male flowers for pollination.
Peppers work well in a pot and love the heat.
Kale can be grown in pots. I have five healthy plants in one large’ish square planter this year.
Swiss Chard is another great producer. Eat the tiny leaves in salads or let them get large and cook them. The “Rainbow” variety is really very pretty. Chard will survive a light to medium frost. In your zone, you cna probably grow it year-round.
I grow lettuce in windowsill style boxes. I get a Mesclun Mix and harvest the baby-size leaves over and over.
Peas are wonderful for pots. Use a tomato cage for them too. They will grab onto it all on their own. You can fit a lot of peas in one pot, spacing the seeds just 2” apart. You can grow "English" peas for the individual peas, snow peas for the pods or snap peas for both.
Basil is easy to grow and you can put a plant in with each tomato. Supposedly, it improves the flavor of the tomato. :) Be sure to snip of the tops of each cluster to encourage branching. Start when the plant has two real sets of leaves (not including the initial set that first sprouts). Don’t allow your basil to flower and it make the leaves bitter (just snip off any beginning buds—they look like green tufts.)
If you want to grow beans in a container, look for a “bush” variety. I use a tomato cage for them as well to help support the plant when it has many beans on it.
Funnily enough, I don’t usually use a tomato cage for my tomatoes, I find that bamboo stakes work better for me and allow better access to the ripe fruit. Put one in with your seedling tomato and then add additional as needed to help support the plant.
You will need large containers for most of these things, 10-20 gallons. Peppers can do in a five gallon pot, but only one to a pot, in my experience. If you have a Big Lots near you, I’ve had good luck getting large pots there for a reasonable price.
I've found this blog helpful:
http://www.yougrowgirl.com/ and I found this blog specific to your zone:
http://www.zone9garden.com. I don’t think I could have had anywhere near the success I've had without the internet. Google is my most important garden tool. :)
Good luck and keep us posted on your progress!