I echo Liz's advice.
Peonies are wonderful plants that will reward you with gorgeous blooms. Some people fertilize their peonies, and some don't. I do fertilize mine in the fall with bulb food, and composted manure around the crowns. if you plan on fertilizing, use something low in nitrogen, or you'll get a lot if leaves, and not very many blooms.
Also, the tubers don't like to be planted deeply. I keep around the plants and crowns fairly clean from mulch and fallen leaves.
Best of luck with your new plants. It looks like you'll be getting blooms this year
