This is how we do it - there are other ways, I'm sure. Our label machine has been an excellent investment, because we label everything - bins, drawers, what clothing goes where, names on equipment that might go with us to the hospital....
This is the view from the couch (futon) in Leaf's room:
As you can (maybe) see, the vent, suction, nebulizer, and other in-use things are on the shelf on one side of the crib. On the other side of the crib is a rolling set of plastic drawers, with labels on each drawer of what goes in the drawer. There's a set of Yaffa Blocks (do they still even make those?) beyond that in the corner for diapers. On top of the drawers, there's a whiteboard calendar with all of her therapy appointments and doctors visits. Under the crib, there's another plastic drawer for vent circuits and spare filters.
Our concentrator is in the hall - tubing runs into the room, around behind all that, to the ventilator, and over the banister and down into the living room. When we move up or downstairs, we switch the tubing at the concentrator.
In her closet, we have these big plastic bins - each has written on the white label what categories of stuff go in them. The funny looking white stuff on the left side is an over-the-door shoe organizer, also with supplies that we use from time to time, but not as often as the things in the rolling drawers.
Here's what we did in Acorn's closet, or at least, here's what's left: more Yaffa Blocks, on the existing closet shelves, and a shelf under the bottom shelf for keeping various supplies too. For a while, the rolling drawers were in here, just out of the right hand edge of the photo, where his new dresser is now.
Really, we found that anything that maximizes space and can be labelled is good. Going up the walls with tall shelves and such saves much needed floor space.
We have a small stash of the most used supplies down in the living room too - suction catheters, saline bullets, gauze, g-tube extension & feeding syringe, and so on. That way we don't have to run upstairs if we need something.