If you just want to bring out the shine, use automotive rubbing compound, followed by polishing compound and a good wax. If you want to get the best finish, start with 120gt paper, working your way to 400+gt. I have found that a good LIGHT colored stain works best, for the China wood. If you want it darker, put on a darker stain, after the light. Follow with a few coats of poly. Either of these 2 methods are easier with power tool, but can be done by hand.
Mike