Sleep on the apartment terrace. My mom has a similar problem with cats. She has lots and lots of cats (our house is basically an animal shelter ((p.s. we do have an actual one that's about 80kms away but she keeps the ones that need daily care at home)). So now I sleep on the terrace.

And tell everyone and their mother u sleep on the terrace because there's just no space y'know. If terrace is no good sleep in the car... Just make sure everyone knows about it. Be an asshole and publicize that u can't sleep in ur own room coz there's just no space. Embarrass ur dad by airing his dirty laundry (all puns intended).

P.S. I know it's cold so bundle up nicely. If u want faster results, wear your dad's nicer clothes as outer layers.