I'd recommend doing raised beds if you don't have them already. It's super easy to build up a great soil that way. I raise veggies in my backyard and it always amazes me when I pass by the local allotments how much work people seem to be doing. All that shoveling and hoeing. I'm way too lazy for all that! :-) Raised beds are much less work once you've got the up.
Just put down a ton of well-rotted manure and use lots of mulch (I use strulch, which is a type of straw mulch). I also highly recommend growing any greens under hoops topped with a light fleece or netting because that'll keep out the vast majority of pests. If you're just starting out, it can be helpful to buy seedlings, rather than seeds because some seeds can be finicky. There's lots of places you can order online.
Oh and have a look at square foot gardening. I use those basic principles for intensive gardening. Just be aware that many of the things you'll read are just based on anecdotal evidence and are mostly hogwash. Most companion planting advice, making manure tea, planting by the moon cycles - a waste of time. As for pests it's good to encourage ladybirds in your yard, but they're not going to eat all your aphids. Trust me! :-) Grow things under netting and you'll only have to worry about slugs. Much less work.