I've done both. Now I shoot them with a pellet rifle. No mistakes with this method. Rabbits never know, eating grass, chilled out relaxed. Dispatch, immediately remove the head, big heavy sharp knife, I have a bucket ready with the bottom of a milk jug or soda bottle type jug with the bottle cut off. After the head is removed it goes into the funnel which controls any body reactions stopping any possible bruising, similar to chickens. I have a real estate post that I hang rabbit by rear legs n process. Pat dry any blood, actually I put a paper towel in the neck cavity to suck up blood. Keeping everything clean. After butchering, wipe with a paper towel. Very clean and no broken blood vessels in neck. Refrigerator for 2-3 days, vaccuum seal freeze. When we get caught up in life we will thaw n can to get freezer space and it makes for a great protein all ready for the table. Great snack for sandwiches n such