Other forms: vivaria
The deluxe indoor enclosure you built for your pet rabbits — complete with a salad bar, fluffy beds, and a bunny-sized jacuzzi — can be called a vivarium, a type of structure that's specifically intended to house animals.
The word vivarium sounds a lot like the more familiar terrarium, and the two have a lot in common. Both are animal enclosures, but a terrarium is a special type of vivarium that's adapted for animals that need access to both land and water (like reptiles). As its root vivus ("alive") implies, a vivarium is for any living animal. Originally, it meant "game park" but was gradually scaled down to mean "indoor enclosure."