Between productions, I wrap my lavs they way they were wrapped when new .. loose 3-4" coil, which you can do by wrapping loosely around the four fingers of one hand.
The twisty is coiled around the cord bundle, not twist-tied, so you don't pinch anything. Drop each in a small plastic ziplock, and toss them all in a Sterlite shoebox.
The mic transmitters are stored each in a plastic school pencil box, in which I put a fabric bottom and eggcrate foam top insert to hold the transmitter lightly when the top is closed.
During productions I leave the cord in the box (as shown) loosely wrapped, with clips and all still attached -- although I don't use the twisty (I just pulled this out of storage to take a quick pic and left the twisty on).
The school boxes stack nicely so you can cram a bunch of them into a small locking cabinet, and they are easy to carry to/from the green room this way.
I generally have not had moisture problems with this storage arrangement. We hang the mic bags up on the wall after every show, and we use small polybags around the transmitters and replace them whenever they start to feel clammy.
-- John