My old fashioned way is thus (I'm retired , so I have lots of free time). This will be for .38spl cases:
1. tumble a batch of ~200 sorted, fired cases in corncob media w a bit of brass polish added..usually 3-4 hrs
2. Resize and deprime the batch of cases..say 200
3. GENTLY ream out each primer pocket to get that last bit of primer gunk out. I use a tiny brass brush or a tiny screw driver as a 'reamer'.
4. soak the clean/deprimed/resized batch in water w some "Dawn" added for 48 hrs
5. rinse cases well
6. soak the batch in white vinegar or Coca-Cola for 4-5 hrs..then pour off the liquid and save it for next batch..I usually use Coke only twice, vinegar 3-4X
7. rinse cases well and dry thoroughly..2-3 days on flat towel
My batch of cases is sized, very clean and ready to prime. They usually look like new brass by now. I use an old reliable Dillon 550 and re-prime the whole batch at station 1, onecase at a time(placing each primer by hand)..yes it takes a bit of time, but I do not like to worry about a "tube" of primers going off.
I test feel each primed case to ensure the primer is not seated "high"..
I get the batch ready & load them using stations 2,3 & 4 on the Dillon and have beautiful clean ammo.