Terri, I am no expert when it comes to iris and daylily, but if I were moving plants from the ground and then re-planting this time of year, I think you have two choices:
1. Dig everything up, shaking off what soil will easily fall away, cut off 1/2 of the foliage, and wrap them in dry newspaper for the travel. You will lose the flowers this year.
2. Have pots with soil available when you dig the plants up and transplant the plants to the same depth as they were growing. Lightly water that soil. When you re-plant them, you will probably lose some foliage due to the stress of transplanting but you might have the daylilies flower. Daylilies seem to be tough plants.