Popsicle Stick Puzzles - An easy storage idea is a plastic baggy. These puzzles would be great to put in a diaper bag or purse to pull-out when you’re on-the-go and need a quiet activity! Could also add the little magnets to the back for fridge fun.
I keep a stash of empty containers in our kitchen closet-- empty containes, egg cartons, etc. You just never know when you& need an empty container like for this simple fine motor task for your 1 year old!