The problem with plywood is getting in from here to there. It's heavy and getting a good grip is difficult...especially if you have to carry it for any length of time. An easy solution is to take a couple of C-clamps and tighten them on to each end. This will give you the handle you need to get a good, solid grip.
Having special shelves for your carpenter’s planes will help keep them organized. But before mounting these shelves, rout a groove 1/2 in. deep into their top surface. Position the groove where the blade will rest when the plane is on the shelf. The groove will provide a slot for the blade and you won’t have to retract it before storage.