Hi Gary,
I agree with Daisy. As long as you don't sand it, saw it, or pulverize it in
some way to create a fine dust most, if not all the particulants will be too
large to float in the air and be inhaled. You can most likely remove the
remaining tile simply by loosening the cabinet attachment to the floor and
using a putty knife to slide under the tile to pop it up. The biggest
problem I had was getting the cabinets unscrewed from the floor. The screws
were a soft steel and the slots in the head gave way before the screw would
loosen. I was able to keep that from happening by using an impact driver.
The tool doesn't cost much at Tool King or other discount tool stores.
Forrest