Hi Adam, i think the powder that comes with the kits is Cerium Oxide, you can buy it seperately on the web if you prefer. A few years ago,I bought a set of Doulton Crystal,all dishwasher stained, i didnt notice in the auction rooms ! Thought i got it a bit cheap, anyway, i got some powder, and a dremmel, and each glass took 15minutes or so, but results were very good!
Also i cleaned a water stained Kosta Vase with the powder and some hard work, and got good results. Its easier if its a vessel you can get to by hand, the method of drill extensions for decanters and thin necked vases etc. was a bit too fiddly, but i can see , with patience and practice it should work.
Chips , i gave up on, i tried it on a Czech vase, with a dremmel, and it got too hot and cracked, very very light scratching and a few hours work by hand should work ok.
These days the dremmel is with the George Formby Grill and other items that dont get used any more, and i try to avoid scratched chipped or stained stuff, but occaisionally i will get the powder out!
Good luck.
Regards
Andy