A peony is very easy to grow. They are adaptable to many different climates and soil conditions. Peonies are most hardy in zones two through eight. Preparing a peony for the winter season is very easy to do. All that needs to be done is to cut down foliage any time soon after the first hard frost. Removing the foliage will limit the possibilities of the peony being infected by fungal pathogens in the winter. When you have removed all trash and leaves fron around the peony bed, you may want to cover the area around the peony with dry straw for the winter. Remove the straw in early spring.