Certified GKH Gardening Expert
Peonies hate to be transplanted and can take years to bloom after transplanting. In fact, it may take them a year or two before they recover from transplant shock. However, if you really want to move them, early fall is a good time to dig up or transplant peonies. Make sure you get as much of the root system as possible and replant in a sunny location in well-draining soil. Keep them watered as the roots establish. This article will help with peony care: https://www.gardeningknowhow.com/ornamental/flowers/peony/peony-care.htm
If you already have them in a suitable location but are simply having blooming issues, your soil could be lacking phosphorus, which is responsible for flowering. Try adding a phosphorus rich fertilizer or bone meal to the soil around your plants and see if this helps.