What Kind Of Album/Folder Do I Need?

Just remember that there's a STRONG chance that any plastic that is easily pliable could contain PVC.
Bubble wrap?
Sandwich bags?
I don't know but I personally wouldn't take the chance.

PVC-free 2x2's stored in PVC-free notebook sized pages that accommodate 2x2's should serve you well.

And don't forget to store them in a place with a stable temperature and low humidity.

I've got a box that looks just like that stacked with 2¢ pieces I still need to attribute. One of the best ways I've found for non standard collection viewing and storage is 2x2 mylar holders or 1.5x1.5 mylar holders for smaller coins, and album pages in 3 ring binders with slipcovers, to keep coins in and dust and in my case cat hair out! The pages let me move stuff around as needed, and make it very flexible and inexpensive to add to them.

There is NO chlorine or softening oil in polyethylene clip lock sandwich bags. If there was, they would be illegal to store food in. They are more than perfectly safe for storing coins in, from a chemical or 'gassing out' point of view.

They would be perfectly suitable for storing bulk coins, or bulk 2x2's with coins in them.

The only problem is an obvious one: you can't arrange the contents of the bag in any sort of logical order; that may not be your a requirement for you, however.

Toss in a small bag of silica gel in with the coins, in humid climates.

They look nice, and glad you are enjoying your coins

Very nice!
As you expand, you can start to put like coins in their own pages, and eventually their own binders.
It's fun to watch it grow.
Sooner or later though, you'll get the bug to specialize in one series for a while.
It's a satisfying feeling to complete that first set.... even better than your first binder!
Good luck!

"Slipcover"? No I didn't. How does that work - like a platic sheath that slips over each page? Or like a bag the whole binder goes in?

I just ordered some 2.5x2.5 pages though. I got 2.5" cardboard flips for my silver eagles and dollars. I like the way they fit dollars better, because with the 2x2s I never could get the sides stapled closed all the way. I'd always see the rim of the coin exposed.

aaahhhh...

If you can't find a slip cover of the appropriate size, use a corrugated cardboard box of the nearest dimensions. You may find such an item at an electronic games or photographic shop, with the box thrown out in the trash. Just seize the opportunity when something that suits your needs becomes available.

I use a converted metal beauty case for two of my smaller albums, I found them at a church fate at the junk stall; they cost me $2.

12 pocket album pages made specifically for slabs will fit right into your new album.