When I come in from shooting, I dump the brass in a five gallon bucket. When it is about half full, I add dawn and hot water. After it soaks for a couple of hours, I dump it out, drain and dry in the sun. Then and only then do I handle the brass. Then rifle brass is deprimed, pistol brass is not. When sorted, it goes in a citric acid bath to shine and clean further. When I do get my brass to the vibratory tumbler, it has had all the lead, primer residue, and lead salts washed away.
The tumbler is in the laundry room and I feel comfortable that there is no "cloud" of lead salts surrounding it as the brass is polished in chrome polish and walnut hulls. To keep the dust down, I stuff a dryer sheet in each batch. After polishing, brass goes into plastic bags by caliber and headstamp to await loading.
Sometimes, I can get grand kids to help me sort. I would not let them touch dirty brass because of the contamination. When cleaned in soap and water, I do not worry about them being poisoned.