There's multiple viable ways, but if it was me trying it, I would put a thin metal bar vertically along the front, then attach it at the bottom and top with locks keyed alike. that way you can prevent all of the them pulling out with 2 (maybe even 1) lock.
Only issue with this is that u can fit 3 tubs in there, and if I only use 1 bar to close I wont be able to hold all the tubs in.