/fit/, need some home gym advice.

I'm thinking about moving my gym from the garage into my basement because it's fucking hot in my garage and there's bugs and shit. Problem is that my basement is carpeted. What do?

Is it okay to do squats and what not on carpet? I currently have it on a rubber mat on concrete. Don't think I can get a big-ass 3/4" sheet of OSB down the stairs. And I don't want to rip up or otherwise fuck up the carpet.

Advice? Ideas? Pic related. It's my gym.