It gets easier. If a confirmed wuss like me can kill and butcher a chicken, anybody can. One thing to keep in mind is don't think about it. Just do it. Makes a big difference.
I killed my first chicken because I had to. It was a big fat Cornish X and it could no longer walk. DH and my brother, the usual chicken killers, were out of town and this big roaster simply wasn't going to make it until they got back. Faced with the choice of either putting that nice plump chicken in the oven or the dumpster, I opted for the oven. I managed to dispatch him with a pair of LARGE pruning shears without too much distress to either of us, and got him plucked and cleaned by following some step-by-step instructions I downloaded.
Now I do a lot of the chicken killing all by myself. I have replaced the pruning shears with a box knife now though. I cut the jugular so they bleed out really well. The knife is so sharp I don't think they even feel it.