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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.
You can either place a small label near the plants or make a diagram of your flower garden with each plant's location and information. Dig up your iris bulbs one to two months after their blooming season. Pick a time in July or August to dig up your irises.