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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.
Transplanting iris successfully requires you to cut or break the small rhizomes away from the larger mother. Discard the mother; do not compost due to various iris pests and diseases that could survive in the rhizome. Trim the leaves back to 8 inches before transplanting iris.