How do you start peonies from cuttings? Best way to cut them? Best way to get the cuttings to root? ETC,Etc. i need help in this area badly/

I have some wonderful peony bushes along my driveway out front. I want to expand them out with more peonies.Are ther peonies that bloom later in the season or not? If so, what are ther names? If not, what plants would be compatible with my peony friends & give me a wonderful display of clor into the fall? I prefer pernineals to keep my cost doen.

I live in Central Iowa. My mother-in-law ordered peonies for me while I was deployed overseas. I got back home just recently & find that they have been sitting on my front porch since early Dec..She could not plant due to the early frost here last year.
Here it goes.They are bareroot peonies. Is there anyway to save or slavage them?? Please help.