I'll note that contrary to all of the above, I dry tumble, and like it. (When I'm done tumbling, I can immediately use the brass. No need to wait for it to dry.) I note: I reload pistol loads for USPSA in volume, so you make want to make different choices if you are reloading rifle rounds, or pistol rounds for extreme accuracy like a bullseye competition.
I don't really care if the cases are incredibly clean, as long as the insides are pretty clean. I don't care if they are shiny, either. Dry tumbling works perfectly well for what I need. I haven't seen any difference between my reloads and several friend's reloads (who take considerably more pains with cleaning etc than I do) with regard to reliability and accuracy.
As for dies---I use Dillon dies. Other dies are perfectly good, but I _know_ that if there are any issues with the Dillon dies, I'll call up Dillon, and they'll make it right. I've had a Dillon Super 1050 for over 5 years now, and THAT model is the one that doesn't have a lifetime warranty because it is the industrial version. It just has a 1-year warranty. The carbide sizing ring came out of the die one day during this past yaer (just was left there around the middle of a case) so I called them up.
They looked up my data, knew my press, knew when I bought it....and immediately sent me a new die, free. They only asked that I send back the broken one, and they sent a shipping label for it.
Dillon has amazing service. And if you have problems, calling them up will fix those problems, because they've seen it all, and they are perfectly willing to help out any issues.
(Yeah, I'm kind of a Dillon fan.)