Quiltwoman44 -- well, the magazines can be stored in boxes or magazine racks. I use racks on shelves in my sewing room.. I've given most of my mags away so i have very little to deal with now.
Polkweed -- A lot of file storage works well for magazines. The upright ones that are tall in the back and short in the front are good if you want them accessible, but not taking up much room.
Thank you both for your replies. I found some collapsible file boxes at DollarTree today after reading your ideas about your storage methods. I bought 5 and filled 1 with just the magazines I brought home yesterday. I will be going thru each one to see if there is anything I like and want to keep. If not, I will pass the entire book to someone else that likes to sew/quilt.