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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.
Although the iris rhizome is planted in a shallow hole, the soil should be loosened to a depth of 10 inches to allow for optimum root growth. Place the rhizome so that it sits barely under the soil, firming the soil around it, and then water it in. Potted iris can be planted in the spring using care to plant at the same soil level as in the pot. Containerized iris are often available in spring at local garden centers.