They are generally well behaved and suitable for families. Some health issues in the breed are portosystemic shunt of the liver and hip dysplasia in standard sizes. They may be a little temperamental with hyper or larger breeds, but generally, the Shih Tzu gets along well with other pets. They are generally well behaved and suitable for families. Some health issues in the breed are portosystemic shunt of the liver and hip dysplasia in standard sizes.