I think you really hit the nail on the head by likening him to another stray dog. How about kicking out this one and not taking in another one? How about, for the next bf, the following should be true:

- has been self-supporting in full and continuously for the past 12 months
- has a stable job
- has a place to live
- is not in a financial crisis
- has a car and a clean driving record

Etc.