When I started researching, I used a binder for copies only, mainly b/c it was portable and I could add or take out stuff. For ALL my originals I keep them in file folders in a filing cabinet. Extra large things are all kept together laying flat in an archival box etc. with a paper copy in the file that it should be in stating where the oversized original can be found (kinda like the oversized book shelf at the library).
Luckily, I got into digital early on and haven't looked back. I still have all the original papers and photos that we inherited, but I haven't added to it like I could have and rarely generate a hard copy of anything.
For those of you that are worried that all your research will be shredded when you pass, maybe consider donating it to the Historical Societies in the areas where your families resided. That way others that come along later can find it and use it. jmho.