I have a garden in midcoast maine that only gets 5-7 hours of light a day. I have trouble growing some things such as carrots and lettuce but am not sure if it is the sunlight or something else. My peas and tomatoes i put in the back where they get less sunlight and i try to put my herbs and such in the more sunny locations. Peas and cucumbers seem to me like they do just fine with less light. my tomatoes do quite well with about 6 hours of direct light, they just take a little longer to ripen. I've learned to start them indoors myself in seperate pots. Because often when you buy them at a garden center they are sold rootbound and you have to ripe them apart from eachother to plant. It takes a while for the tomatoes to overcome this shock and I think you lose a couple weeks just from the plants recovering from all that stress.

I love to take a large pot and plant with three herbs. Lemona verbena is usually one of my choices and looks great with variegated lemon thyme. Another pot is dedictated to a prostrate rosemary and one or two other herbs but sometimes a little johnny jump up for color. I had terrible luck with cucumbers in pots last year. I think all the rain washed nutrients out of the soil. On a garden tour I saw someone else's potted cucumber looking as sickly as mine but one growing nearby in a raised bed was healthy. At our old house I planted a cherry tomato on the east side of the house next to the porch stairs. It was a great location for casual snacking. Don't overlook strategic placement of pots to enjoy quick nibbles.
We grew sugar snap peas last year. I used to plant carrots along the base of the peas so when the peas were done the carrots took over.
At the other house I grew tomatoes in large pots on the south side of the house in the sunniest location. Beans should do fine with less light. I had some last year grow in the shade of winter squash vines because I planted too closely.
Keep your eyes open for local growers or garden centers that sell tomatoes in individual pots. I lucked out last year buying heirloom tomatoes and peppers from a gardener who grows extra to sell. I had to place an order for pickup on a specific day. You might find people at farmers markets and flea markets selling their extra plants or see a sign posted in front of someone's house. Ask other gardeners in your area if they have recommendations. I think more and more nurseries are making individual plants available for people who want to grow a variety of tomatoes and 6 of a kind are just too many.
Have fun!

Start by drawing a plan of what goes where. Tomatoes will take up a fair amount of space all summer. I think leeks are also a long season crop, but we haven't grown them. Peas around here last annoying long into June. In Philadelphia, we could pull the peas out and put the tomatoes in the same space, but that doesn't work here. Beans can go in after the peas, but they will be ready to eat fairly late. A lot of people plant several crops of beans, and this would be equivalent to the second planting.

Leaf crops do very well with a lot less sun than other kinds of plants. Here in southeast MA, I find that lettuce grown in part shade will still be doing well when the greens in sunnier spots have already bolted. They like the cooler temps, so maybe this is a no-brainer, but I thought I'd mention it since nobody else has.

We started our leeks indoors, and they are growing like crazy now....any suggestions on how soon should I move them outdoors?