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This article will help: https://www.gardeningknowhow.com/ornamental/bulbs/iris/dividing-transplanting-iris.htm

Rich soil that has been amended with compost is very good for irises. They like light, loose soils that are well draining but loamy. pH of 6-7 is best. Manure tends to add too much nitrogen to the soil, which results in alot of leaves and few flowers. You can use a little, but not much.

The foliage will die back on its own and is a necessary process for the plants. The rhizomes (bulbs) get their energy (nutrients) from the leaves so do not cut them. The plants will bloom again the next growing season. As for the blooms and deadheading, this too is not necessary but if you want to cut the spent flowers, it will not harm the plants.

Iris is typically not pruned per say, except during transplanting. These articles should help you: https://www.gardeningknowhow.com/ornamental/bulbs/iris/dividing-transplanting-iris.htm
https://www.gardeningknowhow.com/ornamental/bulbs/iris/divide-bearded-irises.htm

You could have a pollination problem or overcrowding. If you have not thinned them in some time, you may want to do this in fall.

You can if you keep them very, very well watered. If possible, wait until fall, but if you have no choice, then just make sure you are watering 2-3 times a day for at least the first 2 weeks after moving them.