I had a similar problem. I had several taps (many were duplicates) that I really didn't know how to store so that they didn't take up too much room, but were still easy to access by size and tpi. I also wanted storage that was relatively economical and durable. I figured I'd start at Home Depot, where I expected to find a lot of plastic, made overseas junk, with cheap ill fitting drawers, etc. That's pretty much what I found prominently positioned at eye level on the display shelves. Down on the bottom shelf, literally below my knees was one unopened carton of six of these little storage boxes made by a company called Plano. I opened the carton and took one out. I was impressed. The box is heavy duty, fairly compact, has adjustable partitions, is water proof (notice the picture with the dark blue rubber gasket inside the lid), and was MADE IN THE USA. I ended up buying four of them. I think I paid around seven dollars apiece. This may be an option for taps, drill bits, hardware, and other small parts.
Jim C. (A new Plano storage box fan)