ChickyBangBang, if you are planning to try to save money by raising your own meat and eggs, then I suggest doing a lot of research first. I can tell you that the eggs I get are expensive compared to most places, and very expensive compared to the 99 cent store. Meat is usually even more expensive to raise. Most of us cannot raise the feed ourselves, and we cannot get the discounts that the factory farms get because they buy in bulk and have negotiating power. You have a choice between feeding a high protein (read: expensive) feed to get fast growth so you are feeding the chickens as short a time as possible, or feeding a lower protein diet which means slower growth and feeding the birds for a longer period. Either way, they usually consume about the same amount of feed per pound of weight.
So far as I can see, for most of us the benefits to raising our own eggs and meat are 1 knowing what goes into the product, 2 knowing that the animals are handled humanely, and 3) that it usually tastes better than the factory farm eggs and meat.
Regarding how to kill the birds, many people like to slit the throat because the bird bleeds out more completely that way. When you break the neck or take off the head then the heart stops beating sooner than bleeding the bird out. It is a matter of choice -- a lot of people use pruning loppers to snip the head off.