I think this is something to talk more about with your psychiatrist. There are so many questions here about how this would work for you. Talk more about it with him and include your concerns about the contertransference.

I can surely understand your wanting to go where you can get the treatment you need and want. Have you asked if he knows of someone there who could work with you as he has been if you were to not move?

I can see your many reasons for wanting to move. They make a lot of sense.

I think I would want to move, but I can see where staying and making a different kind of new start (with a new psychiatrist) can be a good kind of new start too.