Jeanne, with most anything in the plant world, there's "societies" that wish to extend information about their expertise in bringing them along. Roses, dahlias, hydrangea, and peonies have such societies and they usually are according to 'States", "Provinces", or
Peonies are, I think, in a class by themselves in that they through a huff if you don't follow narrow needs of their growing. For instance, as pointed out, their depth of planting is important.....their topmost buds...must not be any deeper than 1 1/2" to 2" below soil.
If not followed, the plant may not....and may not ever, bloom.
When we cultivate in the spring, we usually toss soil around our plants, we may add fresh compost or topsoil or dig around the plants and if we do that recklessly, we may put soil on top of them, effectively putting them deeper.
If we move them, even a few inches, that may be enough to cause the plant to stop coming bloom. I think, left where they are for years, they build strength and may suffer the slings and arrows and bloom without interuption.
Also, the flowers, being so large, need support planned for, weeks ahead of their coming so they don't fall over and hide themselves.
They don't need extra effort of care, just a little forward care of their coming.