Thanks for the links. I think I'll make a trip to the store & look at them.
I have a bag that I bought at Tuesday Morning a couple of years ago & it works well but I'd love to have another one.
I did measure the inside of it & its 16"x9" inside with a depth of 13". The Harbor Freight bags are only 10" deep but with the top being soft it should work. My bag is only reinforced with what feels like card board & its not really heavy cardboard. I'm sure you could find something firm to reinforce the other bags (maybe stick cardboard in the many pockets)