Lin, for nine years I re-built concert Grand Pianos in Miami, Fla. I was in charge of the finish work and would do as many as 30 lacquer coats and then hand rub them prior to buffing for mirror finish.
I used a LOT of Rottten Stone.
Makes me reflect a little bit.
I would hand wet-sand starting with 220 or 400 just like a knife handle! All the way through about 1200 and then Rotten Stone, buff, etc.
Think a knife takes along time?
Try a black lacquer, nine foot concert Steinway sometime.
Anyway, I chose the Bon Ami cleanser because it can be found almost anywhere, Dollar "type" stores, Wal Mart, etc.
Really good stuff, and I think I'll use it more on my working knives: