I agree do not move them until the fall. It's a little late in the season to be moving them now.
Peonies are one of those plants that once planted will be there a long time. So it's very important to enrich the soil as much as you can. Peonies like a soil rich in humus.( Add compost, manure, bone meal and dried blood.)
Did the hole double the size and depth fill the hole with the mixture. Add the peony, making sure the eyes are not more then 1 inch below the soil line. Water well every day for 2 weeks. The watering is very important.
You should get some flowers next year, but it usually will take 2 seasons. Never, Never use liquid fertilizers on peonies. Liquid fertilizers should only be used on annuals not perennials. When used on perennials the will produce lush green leaves and sparse flowers.
Always use natural fertilizers on perennials, bone meal, dried blood, manure or compost. One of the best fertilizers is a tea made with compost and manure.