Moving Apple TV to a different Home

Hello.

My family has two homes in our home app. One with our living room Apple TV, and the other with our ecobee and our two separate HomePod minis. Is there any way to move the living room Apple TV to the home with all of the other devices so they can all be on one home and work together? Just some things to note: the home with the living room Apple TV on it was set up and the home was created by my dad, and the home with everything else was created by me. I have tried to add the Apple TV to the main home with the rest of the devices, but I can't since the Apple TV is not under my Apple ID. I don't know if my dad would want to change the Apple ID of the TV. Also, just to make sure, can I disconnect the Apple TV from the home, and then reconnect it easily? I am assuming that it has to reconnect with the Apple IDs matching, but would it be possible to connect it without changing the Apple ID on the Apple TV? Would my dad be able to add it to the home with all of the devices since he has access to that home? Hopefully this is clear.

Thanks.