That's what I did last spring, Mary. The ones I found last fall actually looked a lot like traffic cones made of Styrofoam. They worked well but wouldn't have gone over a larger peony. I got the smaller size offered, the larger might've gone over a tree peony but the shipping cost was so high that I decided to experiment with the smaller ones first. It was recommended that you use landscape pins to hold it down--my frozen ground and high winds laughed at that! I ended up using rocks on top to hold them in place. Worked pretty well except I left them on a few days too long--heated up too much before I got them off--and the last big snowstorm happened while I was away for a week.
I don't think it's necessary for the majority of peonies--most seem to come up late enough or be small enough in growth that they're not impacted negatively by the weather. I have several that have failed to thrive though and I THINK it's because of frost damage. As long as I see these plants come up every spring I'll try to give them some additional protection.
The ones I had last year (still have around half of them, several disappeared because of my failure to secure them after removing) looked exactly like these but I'm not sure they're the same--don't remember them saying specifically rose covers and am not sure they were insulating down to the same temps.
https://www.bing.com/images/se...
My Itohs don't come up early enough to need protection and the ones from last year were too small for trees, I did cover several with really large pots, though!