"Sounds too good to be true??"
But it IS GOOD and it IS TRUE!
If you live near an industrial center, look up "lapidary" or "industrial polishing" in the yellow pages. Otherwise, do an Internet search using the similar key words. The lapidary stores should have the affordable tumblers and media.
Wet polishing media comes in different sizes and shapes for the specific job. Almost all are either stainless shot, or ceramic pellets with some regular shape to them: cubes, trapasoids, cones, or rods. Apparently the "pointy ends" help to assure complete polishing coverage.
Yes, you CAN use your kids' rock tumbler, but generally, those are sorta small for tumbling a batch of cartridge cases. Be SURE to completely clean and wash out ALL of the abrasive grit before you tumble brass cases. Otherwise, your brass will turn out "frosty".
The tumblers I've bought and used were by some company called ACE or some such. About $40 each some ten years ago. Neoprene-lined lids, wing nut fasteners, and waterproof.
Oh, by the way, did you know that Remington uses "liquid honing" or "vibra-polishing" of it's slab-sided shotgun and rifle receivers for more than 30 years? It's true: check out the blued M1100/M870 receivers.