I would plant the tubers in pots. Moving them will most likely retard blooming for anywhere from 2 to 5 years, depending on how many eyes the tuber has.
Personally, I would leave them in the containers until the proper planting time next fall, and not try to plant them in the ground in the spring.
When you finally do plant them in the ground, disturb the roots as little as possible. Moving them at all will set them back, anyway, and they will just produce foliage until they become established in the new location. Be very careful when digging, potting and replanting, because if you break the taproot, the plant can take several years to bloom again. Make sure every tuber has at least 3 eyes. Tubers with fewer than 3 eyes may not survive at all.
I'm not positive that your peonies will survive being moved this way, but it's the method I would try.
ETA: When I had to move my peonies, I knew I wouldn't have any peony flowers for awhile, and I just couldn't imagine a year without them. I bought some container-grown peonies that were in bloom at a local nursery. I kept them in the containers, and they bloomed the following year, too. I finally planted them in the ground after my in-ground peonies began to bloom again.
I agree with Kisal. I had to dig mine up quickly one year due to a septic problem. I just planted them in big pots and overwintered them in the garage, and then moved the pots outside in the spring. It wasn't until the end of June before I could get them back in the ground. Some recovered quicker than others, but they all did start to bloom again.