I've broken down three of the large shipping boxes full of old doll boxes. I am working on a fourth box. What I do is take out each empty doll box, photograph the box -- if it appeals to me -- then remove any accessories remaining, open and flatten the empty boxes, and place the flattened boxes in a garbage bag. It can be a little tedious, but it's lovely how much space I am recovering.
I'm separating the leftover accessories into ones I want to keep and ones I intend to give away or sell. That's been fun. Once I know what I have on hand, I can figure out how I want to store the ones that aren't on display.
The digital photos can be stored on my computer so they won't take up a lot of space.