Whenever I strip a bicycle frame I do it OUTSIDE. If I'm using a paint stripper I use a GEL TYPE and I wear a gas mask. If I do use a wire wheel I do so with the understanding that there are going to be lots of little wire bristles flying around and thus GOOD QUALITY safety glasses are a must.

I use Circa 1851 Gel Paint Stripper and I have the bicycle frame on a large plastic sheet. When I'm finished with the stripper I fold up that sheet so that the stripper and old paint stays in it. Then I bundle it up and dispose of it in a hazardous waste container.

Cheers