Posted: 13/04/2014 at 13:03
Transplant peonies in the autumn - dig plenty of organic matter into the new site then dig up the peony with as big a root ball as possible and plant in, being careful to keep it at exactly the same level as it was previously. They absolutely hate being planted too deep and will sulk and refuse to flower.
Otherwise they're remarkably easy plants.
Monty Don wrote a good article here http://www.dailymail.co.uk/home/gardening/article-1179312/Monty-Don-Peonies-heaven.html