Need help on small-time farming.?

I plan to farm in Delta, Utah. It's good farm land, and a lot of vegetables are grown there despite the arid climate. My farm won't be much, just 1-3 acres to feed myself. I'd like some advice on the how-to's, without using the usual "big farm" equipment. I plan on having a large root cellar, 1 goat, and possibly some chickens. For plants I want (among other things) wheat, corn, potatoes, carrots, lettuce, cubers, kale and beans. For instance: How do you collect seeds from lettuce and carrots, and how do you preserve them throughout the winter for planting the next spring? Do you need to dry out corn kernels in the sun for them to keep? Any help would be appreciated, as I don't personally know any farmers.