Just gone through this my self, for my old thru-hole stuff, and my newly growing collection of SMD.
I wanted something a bit more consistent than the varied assortment of clear non-ESD / ESD / etc packaging, and something I could "thumb through" easier than just pouring out a heap of randomly sized/ colored baggies on the table, and rummaging through them

I bought a bulk lot of 3M 4"x6" static shielding bags that have a Zip-Top on eBay, and some basic paper self-adhesive labels. I put everything into these "standard" sized bags that I can then file away as I please. Having a standard size makes them easier to arrange in boxes/ drawers etc, and 4x6" seemed like a useful general size to hold the vast majority of components.
I "summarise" the component info on a new external label to help me sort them - eg SMD-0805-R-2.2K or TH-DIP-7400 (you get the idea), and for the detailed specs, I clip off the original supplier's label and include it in the bag - I can read it through the bag if I care to do so.
So far, its good enough to give me a consistent "package" for storage, and easily locating candidate parts, and I still retain the original labels from the supplier for the detailed info so I can track down the data sheets.