We have a house bunny, a little lionhead named Aslan.
You're probably not getting links, because most of the house rabbit sites out there are a bit... overbearing. :?
Aslan was three years old and very stand-offish when he came to us. It took him a while, but he warmed up to us and now likes being a lap rabbit for short periods. He would have the run of the house as long as we are home, but confines himself to one room. I believe he doesn't want to leave it because he'd have to cross a big open space (Danger! Hawks!) in order to get anywhere else. I'm actually glad he doesn't leave this room, because he will occasionally get homicidal and run under and between your feet as you are walking.
We have linoleum. This has been a lifesaver. We have discovered that leaving a few of his poops here and there in the corners mostly keeps him from marking his territory with urine.
He does end up in the slammer when he does leave a puddle somewhere, and he knows it's forbidden. Sometimes, he'll even tell on himself. He'll pee on the floor and then start thumping and running away, because he knows you're going to stick him in his cage, and he's already protesting before you even know he's done it. :lol:
He does have an awful time refraining from gnawing on wooden things. He knows this is forbidden, too, but he can't help himself sometimes. The baseboards, chairs, table, and bookshelves have all gotten it.
When I found the job he'd done on my mom's ethernet cable, I couldn't believe it still worked. I have chicken wire going all the way across the one wall with a bunch of computer cords. Unless he decides to chew the chicken wire (which rabbits can chew through), the cords are out of reach.
He's a fun little bunny, though, and the kids adore him. They pick him up and take him other places around the house, or hold him while they're at the computer.
We do put him in his cage when we leave. He cooperates rather eagerly if you shake the Cheerios container. Or Wheat Thins. He's crazy about both of them.