What is the best way to get from Disneyland hotel to prince hotel without taking cab ?

Hi, Paul, Do you mean the Prince Hotel in Tsum Sha Tsui? If so, I do not think you can reach the Prince Hotel without taking a cab.
Actually, you have to take the MTR and cab both. You can take the MTR to reach Sunny Bay to change Tung Chung Line to reach Kowloon. Then you can take cab to reach your hotel. The Kolwoon Station is not very far from your hotel.