Thank you for the suggestions.
I had a chat with my handyman this afternoon and showed him a couple options on Pinterest. Then I showed him to roll of batting (it is still in my car to keep the cats off it). We measured the paper tube in the middle to get an idea of what size pole to use.
The tip about recording how much I use each time is brilliant and I would never have thought of that myself, or not until I was sure I had enough for one more project and found myself short.
We are going to go with brackets on the wall to hold a pole for the roll. I will post photos after Christmas once it is all done.
I do agree the cat hair does get everywhere, but the cats stick closer to the ground and under the LA frame is too close to them.