I am a hobby potter. Not much on extensive decoration, I concentrate on form and function. I'm starting up a clay program (wheel only for now) at a local non-profit art center. Still work full time, but retiring soon and clay will become a much bigger part of my life.
just google "diamond polishing pad" and you find places that sell these hand held pads made for stonework. You can get different grits. The very fine grit will put a smooth finish on your bottoms with just a few swipes.
I never knew that pottery was such a dangerous profession. Clay dust...toxic glaze chemicals...and now various diseases from collecting hair for brushes, and brain ameobas from collecting rain water. AAArghhhhh!