I mostly reload straight wall handgun cartridges. I dump mine in my Lyman Turbo Tumbler (actually, it is a vibrating case cleaner) loaded with crushed corncob and a little of Lyman's brass polishing liquid. Vibrate them until they are shiny, then remove them. I de-prime after cleaning. I tried de-priming, then tumbling, but the corncob had a tendency to pack into the primer pockets.

I've been doing it this way for three decades, no issues.