I like to cut my iris tops back when they get those spots or dried tips. It makes the garden look neater. If the leaves look good, they stay unless I think the area needs more air circulation within the clump, or if the iris leaves are blocking the view of other plantings around or behind it. They all get cut back in the fall. How short do you cut them? 6" or shorter??
I usually start to divide in August but this year I'm going to begin in July...right now. Mainly because I always run out of time if I wait. Is there a problem with starting to divide iris in early July??