Keep separate tools for cutting paper, Fireline and fabric. A thread burner makes it possible to remove the remaining thread by melting it exactly where you would like to, without the risk of damaging your work. Older beading tutorials sometimes recommend using a lighter – please don’t do that!
If you like bead embroidery, I recommend getting a pair of curved nail scissors, dedicated to cutting the Ultra Suede that you use as foundation or backing. The curved tip will allow you cut out small details, but only if you keep using the scissors exclusively for fabric – otherwise they will go blunt.