Can I use paint stripper in my basement workshop?
Paint strippers have different chemical compositions so it is difficult to properly answer your questions.  However, in general,
1. recommend you wait until you can either apply the stripper outside or get proper exhaust ventilation
2. The package on paint strippers will tell you if you should be using a respirator
3. Consider using a non-toxic citrus-based stripper or sanding instead.  (Use a dust mask if sanding)