My stash is kept in my office most of the time. I am self-employed, the office is my own, and this works well. I'll move it to my car if I'm on a trip and may want to diaper up. Formerly I kept it in the attack, because neither my wife or kids went up there, ever. At one point it was in the trunk of my company car when I worked for the other guy. That worked well since I traveled and always had a ready suppy of diapers and plastic pants. All this is kept in a large plastic garbage bag.
As a teen, in the 70's, my "bloomer style incontinence pants" were kept between the matress on my bed. The trick was to keep them clean and free of smells. My diapers back then were "pretend" diapers which usually threw away after use...thats all I could do with them.
My stash includes one cloth diaper, leakmaster plastic pants, and disposable diapers. Over the years I've had as many as 5 pairs of plastic pants, cloth diapers, diaper pins, baby bottles, paci, even some pink underwear. These days its just diapers and plastic pants. I'm am thinking about adding more plastic pants. But I never have over one package of diapers and replace when I'm down to 2 or 3.