I had a similar problem, but it was my blueberry bushes the rabbits went for. I bought a roll of 3' chicken wire and cut it in half. Then I pounded stakes into the ground and made chicken wire cages. I haven't had any more problems with the blueberries, but that just made the rabbits move on to other vegetation in my yard. They began chewing the bark off of the fruit trees I had just planted. I eventually fenced those off too.
The best solution I found was to just get rid of the rabbits. Otherwise my entire yard might have ended up with tiny little chicken wire fences around everything. After #7, I haven't seen any more in my backyard. I used a Ruger Blackhawk .177 air rifle, because I live in a surburban area. It's not much louder than a staple gun, but it still packs quite a punch. You can get one for about $100, and it's a lot of fun for plinking when you're not using it for pest control.
I'd just suggest that you practice with it first so you can kill any pests humanely (aim for the head). Be aware of range limitations - usually 30-40 yards is considered the maximum range for a humane shot with an air rifle. Any farther than that and the rifle isn't accurate enough to ensure a kill. As with any firearm, remember to be aware of what's behind your target as well. (As well as always treat it as if it's loaded, keep your finger off the trigger before you're ready to fire, and never point it at anything you're not willing to destroy.)
If you're out in the country, a .22 or .17HMR rifle would work a little bit better and would give you more range.
You should also call the local game warden and make sure you don't need a hunting license for varmint control, and that the rabbit isn't a protected species.