I found this article on Erica Ehm's YummyMummyClub.ca Facebook Page and brought me to her webpage: What do you do With All That Artwork? I also saw a few other suggestions from responders with these tips:
Pick out some pieces to send to friends and relatives. This is what Little Brandon does sometimes while making his artwork at school. He makes something for his classmates with the artwork he did in class.
Keep only a few favorite ones at home. I store them in a large binder of the ones we both like.
I take photos of them in a digital file. Sometimes I post it on my online gallery to share with friends and family. This is my way of keeping organized and Little Brandon recycles the 'hardcopy' ones he doesn't want to keep anymore.