After this year's peony bloom season, I am in total agreement with Jerry about disbudding. THe double peonies that had their sidebuds trimmed bloomed better, bigger, nicer, and lasted longer from my observations this year. I will definitely try to do this again next year.
As far as storing peonies for later bloom, the peonies don't look as fresh but not too bad after about 3.5 weeks of storage in my fridge. I store them in a bucket filled with 2 inches of water.
Here they were on 5/28/16. Not all of these flowers were picked that day but most were picked that week. THese are mostly doubles.
Here they are today, 6/22/16