The peony is outrageously beautiful in bloom in springtime, with lush foliage all summer long. Peony plants require little maintenance as long as they are planted properly and establish themselves; they do not respond well to transplanting. Dig a generous-sized hole in well-drained soil in a sunny spot. Deadhead peony blossoms as soon as they begin to fade, cutting to a strong leaf so that the stem doesn’t stick out of the foliage. Cut the foliage to the ground in the fall to avoid any overwintering disease.