What zone are you in? The USDA just bumped us from 6B to 6A (yay global warming?). I just started all the things that can reasonably be started indoors without having a super over the top setup. This year that includes a few verities of tomatoes and peppers, artichokes, bok choi, egg plant (two verities again), and brussel sprouts.
I found that starting earlier indoors results in earlier yeilds. I use solo cups with holes in the bottom as my pots. I also have decent sized grow lights under a very makeshift mylar (space blanket) canopy to help the plants not get leggy.
Thankfully, we have a long enough grow season to be able to start things like cucumber and squash outdoors. I might start them inside this year to get a jump on the growing season, but it's way too early to start them right now. Those things get... unwieldy fast. Carrots and shallots are also a bit of a pain to transplant in the quantities I like to grow them in, so I'll start those outdoors.
I'm planning a bit ambitiously in terms of garden real estate this year. Last year we had some volunteer pie pumpkins grow in our compost pile and grow up the side of the deer fence we have around the garden. If the deer didn't eat them last year, I figure I can try intentionally planting some squash and goards along the fence this year to conserve space in my raised beds.