Well if you have some spare cash you could have your minis ride around in the "cadillac" of wargame boxes! lined with steel or magnet, your choice. Actually some of these are for sale. I make them every few years for myself and friends. They are very nice and sell like hot cakes. Look under my name in the "bazaar of obscurities" and to be truthfull the last two just sold but I will be making another batch as I have a few friends who are rebasing and re-casing their armys.
I base on both steel for some scales and miniatures and others I base on magnet lining the drawers with the corasponding material accordingly. Most of my 15mm armys are on magnet and the drawers ined with steel, 28mm singely munted figures are on washers ad the drawers lined with Sheet magnet. My space fleets are on cut styrene which then has sheet steel cut ad glued to it. I like lining drawers with steel better as the steel is harder to work with the smaller you make it.
Sheet Steel in the US is often called "roofers tin" and can be forund most hardware or buillding supply stores. You can get it in sheets about on foot square or in a roll 12" x 25 feet! Yes I bought a roll 15 years ago! (it rolls out perfectly flat. Same with magnetic sheet. I bought a 2 foot by 50 foot roll (split it with a chum) for about $100 also 15 years ago and we both still have some. Sounds like a bit much but if its yur hobby for life then you will use it and save a lot of money! The magnetic sheet should be the .030 thickness. It will need to be flattend off the roll. I cut a few feet and stick it on the side of the laundry dryer and the warmth flatens it out shortly so I always have some ready to go. To cut the steel buy a set of hand shears for that purpose, not cheap but worth it.
I use a spray contact cement (3Ms 77 spray in the US) but brush contact glue or silicone sealer will also work. do not use wood glue, super glue, two part epoxy, or glue made of seal blubber, they will cause problems over time!
Many of my friends have use tool chest over the years and no problems, A- do not leave them out of sight while you go to the loo... or in the back seat of your car, or anywhere a theif might see them.
Hope this helps!
Bill W
PS you can take the drawers and turn them upside down! People always gasp!

