The Teddy Bear is the result of a few different designer breeds. The Teddy Bear can be a mix of the Shih Tzu and the Poodle (Shih Poo), the Bichon Frise, and the Toy Poodle (Poochon), or the Bichon Frise and the Shiz Tzu (Zuchon). In some cases, the Teddy Bear can be a hybrid of all three breeds.