What are you doing with your old magazines?

Three issues fit in a gallon sized zip lock bag.

I have all of mine zip locked and in a file cabinet.

File cabinets are cheap when you find them at flea markets and they don't take up much space.
The company that my Wife works for downsized their local office in 2011 and were giving all sorts of stuff away. I hauled 85 file cabinets back here and gave away 70 of them.