It's OWN bin? I would have thought just being visible in another bin (not with a computer) would be officially sufficient.
And to the OP, I have found travel sizes of Boston solution, but it's hard to find at this point, and I'm not sure if it's original or just advanced solution. (But if you're using it for soaking overnight, even 1 travel container each would likely be insufficient.) I would NOT recommend transferring to other containers, just for contamination prevention.