Annie - I've had a mother rabbit dig a small den and raise her babies in my raised butterfly garden when I left the gate open at night. The babies were so cute. We don't have a wild rabbit problem here, as too many bigger predators hunt and eat them like bobcat, coyotes, and domestic pets.
Many people I know use hardware cloth in the 1/4" opening size to lay on the ground when they build a raised beds. It keeps critter from burrowing down as well as keeping them from tunneling up into a garden or vegetable bed. It can be expensive to purchase, but in the long run ... well worth the investment. Just make sure you have the edges under and out a few inches from the raised bed frame so the critters can't wiggle their way into your garden bed.
http://www.homedepot.com/p/HDX...
Just to give you a heads up, I learned something new here on ATP about a month ago about relocating wildlife. I had no idea that good intentions often had tragic results until I read this article. Changed my view about wildlife in my yard and how to deal with them:
http://www.humanesociety.org/a...