What do you currently store? For how long? How do you currently dispose of old stuff?
I switched to electronic statements a few years ago. Now I'm throwing out all the old paper after a few years of procrastination. I just grab a few months of whatever at a time, rip it and toss it in the compost. Nowadays most of my important stuff is stored by various government agencies and businesses; banking statements, pay stubs, investment statements, bills, birth certificate, insurance, marriage licence are all stored by others.