Bichons do not need a lot of physical room in which to live, as they are small dogs. If you are willing to walk them to potty, then a small space is fine. If you do have a house and yard, it must be fenced. Bichons hail back to the street dogs of France and they will run off if frightened and have been known to hide for several weeks. They also can be a target of thieves due their value.