You can poison a rabbit humanely by using sodium monofluoroacetate (compound 1080) and pindone.
The sodium monofluoroacetate (compound 1080) and pindone are the two most common poisons that are used to control rabbits in Australia.
You can also trap the rabbit in live capture cage traps and then release them somewhere else.
You can also deter rabbits naturally from your yard by planting some rabbit resistant plants and using natural rabbit repellents as well as physical barriers such as chicken wire or other fencing.
You can also create an unappealng environment for the rabbits like removing any tall grass, shrubs, weeds etc.
A good homemade repellent for rabbits is to make a mixture of garlic, water and cayenne pepper and spray it around where rabbits are and around any plants you have.
Rabbits dislike these smells and will avoid these areas.
Rabbits are also repelled by onions, rosemary, marigolds, red pepper, Lavender, Oregano, Peppermint, Mint, dried sulfur and chili powder.