IMO, the only way to kill a rabbit is to track it down, shoot it, prepare it, give it to a good cook (I’m not) and serve it to your family for food. Taught that by my father, God rest his soul.
Back during WW II, when Dad was off to war and meat was rationed, we raised rabbits. It fell to me, the oldest child, to kill and dress them. The way to do it is grab the hind legs in your left hand (assuming you're right handed), put your right hand around the head with your thumb on the back of the neck, and stretch the rabbit's neck to stun it. Then take a hammer-handle and whack it behind the head to break the neck. Hang it by a hook though the joint in a hind leg and cut the head off. Cut off the front paws, then cut the pelt around the hind legs. The pelt can then be pulled off. Then cut open the abdominal cavity and clean out the lungs, heart and intestines. At that point turn it over to Mother to wash, cut up and cook.