I love your photo. We have eight cats and five dogs in our house, but never seem to have more than three or four on us at a time.
As for the tigers, Willie is reasonably friendly, but can only be "petted" briefly and from outside the cage. Tigra will allow some contact from outside the cage also, but she is quite dangerous and we have to be very careful. In some specific situations people can go in Willie's cage, but always in pairs and always people that are trained and experienced with tigers. Absolutely no on goes in Tigra's cage. (We clean the cages by shifting the animal into a separate "lock down" area and closing the drop door. Once the cage is cleaned and everyone is out the drop door is opened again - from outside the cage.) These are rescued animals, not pets. They are amazingly beautiful but I still don't understand why someone would try to make a pet of one. Even a well "socialized" tiger is extremely dangerous. Someone with the proper experience and training, and a tiger that is properly raised, can have very rewarding interactions. The problem is that most people that get one of these cats don't know what they're doing and think if they raise it like they raised their house cat it will be their pet.
The wolves are also rescues. I have a very special bond with them, and the big male is very attached to me. I still would not support the concept of someone keeping one as a pet.