As long as you are canning things with enough acid in them for water bath canning, it is easy. I have never done pressure canning. The things like carrots, etc that would need pressure canning I just freeze. I like frozen veggies better than canned anyway. To freeze the carrots, just wash and peel them, chop them into how you like to use them, coins or sticks, blanch them in boiling water for just a couple minutes. Then immediately pull them out (if you have a metal sieve, you can leave the carrots in the sieve and just immerse that -- makes it very easy to pull them right back out) and dump them into ice water. Leave them in the ice water until they are well cooled. Then drain them thoroughly and put them in a zip lock bag. Press as much air as you can out of the bag and seal and freeze. Other veggies are processed similarly for freezing.
I'm very generous with my friends about giving away plants I start from seed, because I have so many. I'm afraid I'm not very generous with them giving away any of the fruits of my garden. I have so little garden space, I can't come close to producing enough to get us through the winter. I do give away herbs and almost all of the jellies, jams, herbal teas, infused oil and vinegar, and stuff like that, that I make goes in the Christmas baskets.