we have a privacy fence also and chain link around 3 sides and still they come in. my dogs have caught several this year, and when i hear the crunching i know what they've caught. i've just paid a small fortune to get the dogs and cats dewormed, and the dogs all their shots and flea medicine, so the rabbits can dig into our yard and bring fleas and other parasites. i've had pet bunnies and that's one thing, but i don't need wild bunnies eating my plants and making my cats and dogs sick. i won't hurt an animal, but i don't always approve of where they choose to be!