Mini-album storage/display

For awhile now, I’ve kept my mini-books in a wicker basket in my living room; it provides both a storage solution and makes them easily accessible to anyone who wants to look at them. Today while dusting I pulled them all out, and am dismayed to find that over time some have slumped down, making warped pages. I’ve got them under heavy books in an attempt to straighten them, but wonder if there’s a better storage solution? (Dare I try ironing them, with photos inside?)

They are all various shapes and sizes; some are chipboard but some are made from envelopes or cardstock (even some chipboard has warped). I typically stack them against each other in the basket standing up for easy access, but over time they’ve leaned into one another, less sturdy pages have bent just from the weight of the photos and gravity has generally taken its toll. So I’m wondering if there’s a way to prevent this from happening in the basket (too many in there, perhaps?) or if anyone has a different display idea that doesn’t take up much space, and keeps them accessible but also somewhat protected. Thanks.

I store mine the same way, my basket is lined with cloth, so maybe that helps? They seem to fare very well. I've only had to replace a few things (and redo the adhesive on the Halloween book my 4yo niece looks through every time she comes over).

Maybe have a revolving collection and only put a few in the basket at a time? I've been considering this as my basket is so full I don't think I can fit anymore albums in it!

I'm now using two baskets and love that my nieces go straight for them when they come to visit.