Sonic cleaner or wet tumbling is the way to go.
I live in an three-room apartment and have my "man cave" in one of them, where I've put my gun safes, computer desk and reloading bench. I was concerned about the combustion residues going into the air after tumbling and decided to buy the ultrasonic. The cases I pick up are usually dirty with mud/sand so first thing I do is wash them with dish soap and a teaspoon of citric acid. Rinse them and leave them to dry or use a heat gun if I'm in a hurry. After that they're actually ready for reloading (in fact sometimes that's what I do, for practice ammo), but some other times I deprime them and they go to the ultrasonic. When they're dry, half an hour in the tumbler will turn them into "like new" brass. The media lasts ages and I avoid those lead residues in the air I breathe.
This said, if I could afford living in a house with a garage and a front/backyard, I would just tumble my pistol brass and separate the media outdoors, saving much of the fuss.