Equalizer hitch. where do you store when not in use?

I have a clear plastic tub I bought from Wally World with wheels on it, intended for under the bed storage. In that, I toss the spring bars, the spring bar tool, the stinger, and a container with the L-shaped retainers and their cotter pins. I also toss a set of rubber gloves in there so I don't get my hands greasy when attaching/detaching it.