The combination of a Bichon Frise and a Shih Tzu is call a Shih Tzu Bichon. The Shih Tzu Bichon is a designer dog that derives from a mix between a female Shih Tzu and a male Bichon.
Both these types of dogs are very small and playful, which makes them great social companions. Most of these dogs are meant to be kept indoors as opposed to outdoors. Safe, indoor environments are best because of the dog's short height, which averages around 9 to 11 inches, and low weight, which averages around 10 to 17 pounds. For someone who lives in a city environment and cannot walk the dog outside a lot, this breed would be one of the best to own.