I just want to chime in and reiterate what some others have said, mostly that you need not feel intimidated by what you've been reading.
Gardening should be fun and satisfying, and give you a feeling of accomplishment. If it's a source of stress...where's the fun?! Just relax and dig in.
The "trial and error method" is your friend. You're going to learn as you go along--which plants do best in your yard, how much/often to water, where to place things so they're in the best possible spot, and so on. Don't expect to figure this all out your first year! I've been gardening since I was a kid, usually just flowers/decorative plants, but also the occasional vegetable garden, and I'm still learning. But it's *SO* much easier now than way back when, mostly because I take things in stride now. If something doesn't do well, so be it, I just won't bother with it again next time, or I'll try a different location or variety or soil or drainage...
Here are a few veggies I think a first-timer will have good luck with: Zucchini and yellow squash, green beans, tomatoes, and corn. These are practically impossible to goof up! But beware the squash plants--they'll produce so much fruit you'll be giving away sacks of it. :)
18 Comments