I keep my magazines together. I put a post it note on the pages of quilts I want to make later. Then I take a copy of the picture of the quilt and put that in a binder. I mark the name of the magazine and the page # on the picture. When I am ready to make it, I can find the magazine quickly.
Others take out the pattern they want to make and store that in a binder. You can use page protectors to keep the pages nice. Then you can keep the magazine or toss it