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The best time to move iris is six to eight weeks after they bloom. Division and transplanting can be done at the same time. I would try to flag them now with some type of marking system while in bloom so that you know what you are moving later.
Depending on their size, you can cut iris plant stalks back 6 to 8 inches from the ground during the fall, but do not completely remove green stems. The green stems and foliage must stay on the rhizomes to create new buds and sprouts for the next growing season.