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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.
Irises sometimes take a year off bloom after transplantation to settle into their new homes, so don't be too disappointed if you don't get bloom the spring after planting. Irises moved before bloom will often lose their bloom that season as well, which is why it's best to wait until after bloom to dig and divide.