I have a pet bunny--we also have dogs, but the bunny has her "own" room. (It's the guest room, but we call it "the bunny room.")
I agree that rabbits can run free in the house BUT they do chew, and some more than others! One of my rabbits chewed the binding on books--that was her thing. Another loved electrical cords, (which can be dangerous!) and another loovved to pull out the yarn of the carpet--she literally made all four corners of the carpet completely bald!!!
Bunnies can be wonderful pets, BUT you do need to watch them when they are out. Some can learn to leave the chewables alone, and some will never, ever give it up. (Their teeth are always growing, so it's instinctive.) I give mine green tree branches to munch on.
Male rabbits shouls always be neutered, or they will "spray" (pee) to mark their territory. Rabbits are VERY territorial!
It's important to make sure your bunny has a litter box, because they can absolutely be trained to use it! (They are quite clean.)
Rabbits are affectionate, sweet animals who require attention. It's important to be sure you have time for them if you are thinking of adopting one. I don't mean to sound bossy, I just really care about rabbits, and all animals!