Sounds like you're on the right track. We added a new cat to a house that already had two cats. It took awhile, and the two females never did become great friends, but all three played together eventually. We miss the thundering paws racing along the second floor hallway in the 3 cat chase.
Home is where the boat/coach is
2008 Antares 44i sailing catamaran
2023 Coach House 271XLFR on order