I prefer leaning them against the wall as well - but we're outdoors so eventually they have to be covered. Currently that means they go onto a stainless wire shelf covered by a tarp. It seems every time I go to the studio it has been improved with everything organized in yet a new better way, with new containers so each time I get to relearn where everything is. It reminds me of a bad joke where Helen Keller's parents would punish her by rearranging the furniture.
Just leaning against the wall next to the kilns.
I share my studio with a guy who loves to redesign and evolve the studio into a well organised machine so I know your pain.
I very much remember where things are by what I was doing when I last used them, not the type of guy to organise things unless a pile of stuff counts
What I would give to have a guy like that!