Answer: You can move tulips and daffodils if you are careful to dig them with a good rootball that includes the roots below the bulb and a nice clump of soil. Water them well the day before you move them, dig and replant immediately at the same depth as they grew before, and water them in well. With any luck, they will never know they have been moved.
If your iris are bulb iris, the same should hold true for them. If however your iris are rhizomes rather than bulbs, it may be better to wait until mid summer after they have bloomed to move them. These plants can be moved now, but they may not bloom due to the disturbance. Be sure to plant these no deeper than they grew before as they are sensitive to being too deep and may rot as a result.
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