It's called the "teddy bear dog." Half shih-tzu and half bichon frise. In Canada we refer to the Shih-Tzu and Bichon Frise cross as Mollydogs instead of teddy bear dogs. I have two of them and they are wonderful.
Full House - one of my all time favorite tv shows, the bond between the Uncle and the niece is truly inseparable. She breaks his tough heart and they become inseparable in each other's lives. They joke around and share a bond that can never break.