The Shih-Tzu's long coat requires daily grooming to keep it in order, but on the plus side because their hair is so human-like they trigger fewer allergies. Many choose to attach bows to the hair on their heads to keep it out of their eyes.  Shih-Tzus are a sociable breed, who hate being on their own, so they enjoy having toy companions to keep them occupied when you are not around. Celebrity owner: Mariah Carey.