I have both a vibratory cleaner and a tumbler. I keep walnut media in the vibratory cleaner and corn cob in the tumbler. When the cases are really dirty I run them through the vibrating cleaner. When they are not so bad, I run them through the tumbler. I have a lid for the vibratory cleaner to keep the dust down and of course the tumbler is enclosed.
I run the cases through one or the other depending on their condition. I then remove the primer with a special die for this purpose in a cheap Lee press. I check the cases for imperfections at this point. If I can, I try not to lube by using carbide dies or using Lee neck collet dies. If I do have to lube for neck sizing or full length sizing, I use a pad and RCBS Case Lube II. The lube is water soluble so I do not have to wipe down the case or rerun the cases through cleaning media again. I can use the lube for the inside of the necks too, since it will rinse out. I apply it to the inside of the neck with a Q-tip or scrap it along the pad to pick up lube in the inside of the neck. I dump the cases in a small bucket and the run warm water in on them and swish with my hands for a couple of minutes. Warm water will evaporate quicker than cold and it feels better on my hand. I then lay them out on a towel to dry over night. If I am in a big hurry, I put them in an old cake pan and put them in the oven for 30 minutes or so at 180 degrees to dry them out. Just make sure they are dry when you start the priming and case charging cycles. I look at the primer hole, if there is no water in the hole, I then check a few cases inside with a flash light. If every thing looks good; I start priming.
BTW I use RCBS Case Lube II for forming cases out of bigger cases. I have made 221 Fireball cases out of 223's for instance when I could not get 221 cases. I have never stuck a case with this lube, but have dented shoulders when too much is used. A little goes a long ways. When I re-lube the pad, I put a little on the middle of the pad and work it around with a piece of single thickness cardboard or 60# paper. I make it even across the whole surface of the pad. When it is right, there will be a very thin layer on the whole surface of the pad. If there is too much, I scrape it off. It takes a little practice, but it is not too difficult to master. If nothing else you can scrape the pad, wash the pad and start over or apply a little more lube, which ever the case maybe. A little lube goes a long ways. If I start running the case in the die and if I start to feel the case drag, I back out immediately and lube again. Heavy pressure is normal when full length sizing or reforming but the case going into the die should feel smooth during the stroke, not draggy. I use a single stage press, because I have better feel with what is going on in the die. This applies to seating bullets as well as sizing. When the pad gets nasty from dirt and burnt powder, I wash it with plain water and dish soap, rinse and let dry, re-lube; it is as good as new and ready to go.
Good Luck and Good Shooting