+1 on rock tumbler repurposed to wet brass cleaner.
Get the spare drive belts when you buy the tumbler- it WILL break/wear out.
Get the stainless steel pins that are magnetic. Makes cleanup a heck of a lot easier, use a strong horseshoe magnet.
Dawn / Lemishine for sure. Don't crowd the brass, it needs room to tumble. Even primer pockets come our clean, so decap before cleaning.
Use a post cleaning rinse with dilute Spot-Off (Jet Dry etc) in water, then force air dry, can be as simple as placing cleaned brass in a wire basket, use furnace vent, hairdryer or just a small fan.
Store in plastic tubs, but leave the lid off for a few days to vent any residual moisture.