g-10 is nasty stuff to work with. I make knives as a hobby and I wear a respirator and cover up pretty good when workign with most knife making materials.
If you just want to "kill the edges" of the g-10, get some wet/dry sandpaper (320 grit, or 400), cover your mouth somehow (dental mask, bandana, whatever), and sand the piece while it is under a running tap. Or, fill a sink and sand under the water. You don't want to breathe in fiberglass dust.
To chamfer the edges as you want, put the paper on a pice of wood or metal or whatever that is flat. I use a micarta block. Just wrap the paper around something flat, and sand under the water. It should only take a couple of minutes to smooth out the edges.