Ohh this thread brings back bad memories!!! I've dealt with cat pee wood antique furniture and houses. No offense to the people suggesting enzyme cleaners or eliminators . It has never worked for me. It helped, but on damp days or the heat the smell came back. We used that stuff in pump yard sprayers soaking everything down. Maybe we didn't have the right kind. The best thing we found was to scrub it up the best you can and seal it in with anything that seals. with two or three heavy coats. Urethane, kilz, anything that seals.
I had a landing that a dog peed on for years. One day I decided to scrub it to remove the smell. By the end of the day the landing and staircase was tore out and laying in the yard. She had to use a ladder to do laundry for a month. Just a big hole from the kitchen to backdoor to basement! I COULDN'T TAKE IT ANYMORE!!!! Oh ya, there might have been a few beers involved with that decision.
The wood furniture the same thing. Tried cleaners, and about every home remedy type concoction on the net.Citrus,milk, mix baking soda and lemons, stand on your head, spin around, ask the the pet pee gods to make the smell go away while blowing out candle(2 times),Mix herbs, put them in your nose...etc....... The smell would be cut, and sometimes gone. but over time came back. cleaned everything, sealed every part with a couple of coats urethane inside and out. And haven't smelled it since. It was that or throw it away, so far it's worked and that was about 3 years ago.
Some of it was so bad that the legs were starting to rot from the acid of the pee. Some of that stuff didn't make it, and ended up trashed. Just to give an idea of how soaked some of it was.
Ohhh....Check your duct work too if you have any around where the rabbit was peeing....We ran into that too. It ran through the floor and into the duct work just a little bit is horrible when the air or heat comes on, and blows all through the house......After that house, I will never have an inside pet.....EVER! And I like animals!
And since I'm on the subject and rambling....

If you live in a neighborhood where the neighbors have dogs and cats running around spraying your doors,porchs,basement windows etc.....We dumped bottles full of straight ammonia around all that stuff. It stopped them for a long time.