I struggle with rabbits continuously. Seems as soon as I 'eliminate' one, another one shows up to replace it. I blame cities for over enforcing outdoor cat rules. Back in the day there were always neighborhood cats that would wander around and help keep rabbits and voles in check. Now they pick them up and eliminate any animal that is not kept on a leash, around here at least.
Ive had the best look with a pellet gun, removing rabbits, but that is not always practical or LEGAL. Another option I have had luck with is rat traps, the old fashioned wooden ones with stiff metal spring. Set them wherever the rabbit is entering your yard, this is easiest to do if you have a fence obviously. I put 2 facing each other, so it makes like a gate they have to go through, using rocks or wooden boards to block the area around it. Killed a couple last summer like this, but they will also get away occasionally, if they arent hit in the head when it closes.
Working on snaring a rabbit in my back yard right now, should be interesting to see if it works.