Speaking of cleaning kits, have you tried the Otis kit yet? It isn't as life saving as they pretend, but it is the neatest thing since sliced bread. I feel MUCH safer using the coated wire instead of a cleaning rod, the brass brushes are marked by caliber, the cleaning patches are much simplier to use, etc. Compact (not cheap), but VERY convinient to carry in the field, to the range, or into stores where you might want to check out the barrel of a used gun.
Additionally, they make it MUSH easier, for me at least, to clean .22LR autoloaders and leaver actions (more than one caliber) without a "complete" breakdown.
Granted, I'm with you: I've got the Otis kit in the black bag it comes in, a big tackled box of supplies, and then the bulky items (spray Break-Away, Bulk Hoppes, etc.) and bags of cleaning patches sitting on top of my gun cabinet. I've been thinking about the layered tall metal ammo box sold by cheaperthandirt, but your suggestion might be better. Hmmmm, I'll pass by a surplus store Saturday. Guess where I'll stop to look around (again)....lol.
Thanks for the suggestion,