I carry a lot of soft plastics in my boat.    I keep them kinda sorted by type in original packaging and then grouped in gallon zip lock freezer bags.  Often the issue is "Where is the correct zip lock bag?"    BPS used to sell canvas bags that would hold 30  or so bags of soft plastics, but they were kinda expensive at $15 more or less.     Once I caught then at a close out for $6 or so each and I bought a dozen of them.  Of course, sooner or later I needed more and I'm  unwilling to pay MSRP of around $15.

Happened to be in Harbor Freight yesterday, fully loaded, by this I mean I had a new coupon book, cash, check book and a Mastercard with no balance on it.  Paid it off a few days earlier.

Anyway, I was wandering around, looking at stuff, "What do I need?"    In the tool box section they have Voyager Canvas Tool Bags.  They come in various different sizes, from 8" up to 19 ".

The 15" size is just slightly bigger than the ones I bought from BPS several years ago on sale.   Slightly heavier canvas, much higher quality heavy duty zipper - Six seventy something on sale with a coupon.  I bought one.   Next paycheck I'm going back to get 5 or 6 more.  I envision a new era in soft plastic storage for me.   Now all I need to do is find the time and a sixer to get some serious soft plastic sorting done.   Each problem solved creates another issue . . .

Seriously, check out the canvas tool bags at Harbor Freight.   When you got a coupon, the price is right.   When you get on their coupon program, they mail you a bunch of new coupons every month.    Oh yeah, also right now they have the smaller sized plastic ammo boxes for $5 each, with a coupon.   Unbeatable, dust proof small tool storage for your garage.

Tool bags for plastic storage... Good idea! I might do that too, I currently have a similar setup to your old one. 6 or 7 gallon bags labeled for different categories filled with bags of plastics.