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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 move bearded iris in bloom. The blooms will probably wilt quickly. Beardless iris (ie. Siberians, Japanese) may not be as accomodating. You risk losing these. New rhizomes of bearded iris often take a year to settle in and bloom. Sometimes two years. In case you received a mother rhizome (that is one which has already produced a bloom stalk) it will have to produce babies and for them to become blooming size can take some time. All beardeds are not equal.