I put all mine in an envelope (twice the size of a standard envelope) and kept them in my handbag. The things I kept in there were the hospital record, bills I'd paid until I took them to Medicare, appointment schedule, referrals for scans etc. In the early days I also kept scan pics but once everyone knew they ended up on the fridge.

I kept my wee container (my OB's office made you recycle them) in my handbag in a plastic bag then in a makeup bag (after it was washed out of course).

My handbag was pretty full but everything was at hand if I ever wanted to look at anything (which I did frequently).