Howdy Country Girl!!
The best time to move and divide peonies is September, so wait a couple more weeks.
To move a peony, cut the peony stems near ground level and carefully dig around and under each plant. Try to retain as much of the root system as possible. Promptly plant the peony in a sunny, well-drained site.
If you are wanting to divide the peony, there are a few more steps. After digging up the plant, shake the clump to remove loose soil from the root system. Divide the clump into sections, with each division having at least 3 to 5 eyes (buds) and a good portion of the root system.
Peonies grow best in full sun and well-drained soils. Dig a hole large enough for the entire root system. Place the peony plant in the hole so the eyes are 1 to 2 inches below the soil surface. Make sure you do not plant them any deeper than this or they will not bloom. Fill the hole with soil, then water thoroughly.
Space plants about 3 to 4 feet apart. Apply a 2 to 4 inch layer of mulch in late fall. Mulching will prevent freezing and thawing of the soil that could damage the plants. Remove the mulch in early spring before the peony begins to grow.
Transplanted peonies will not bloom well the first spring, but should be back to full flower production by the third or fourth year.