Tumbler...
Sam 700--You want a vibratory tumbler, not a rotary (possible wet use) tumbler. Because you never want to get yr cases wet, since then you have to dry them, bringing up issues of proper drying methods, damage to primers if not dry, accidentally annealing cases while drying them in the oven, etc, etc.
The few cases that can't be cleaned dry aren't worth the hassle of cleaning 'em wet--chuck 'em into yr scrap bucket. Scrap brass is selling very well nowadays anyhow.
As to which vibratory tumbler, IMHO it doesn't make enough difference to worry about; they are all built the same. Get one you can get a good price on, and it will serve you well for many years. There's really not much to go wrong with these things--They're not exactly rocket science.
Never had a problem with mine "walking" while working, but I was concerned about that when I first got it so I made a simple fence for it, putting together 2 pcs. of 1x2 at a 90° angle, which I clamp to the workbench edge. The machine sits behind that, humming away.
I have BTDT with case cleaning: Cleaned by hand with a rag, washed in a bucket & dried in the oven, cleaned with horrid chemicals, etc, etc. Thought I was being smart in saving $$ not buying a tumbler. I wasn't. I was wasting my time and effort.
Get a cheap, vibratory tumbler, and a bag of finely-ground corncob lizard bedding from a pet store, and be done with it. (Some lizard bedding is too coarse!) A nice tumbler should cost < $40, and lizard bedding is much cheaper than corncob tumbling medium, although it's the same thing. You'll be glad you did.