I will chime in on a couple of things:
I am a zone colder than the OP but would bet dollars to donuts that I have more consistent snow cover. Since that is the case I don't typically mulch in the fall. The biggest problem that I run into is moisture in the spring. If we go through a bunch of freezing and thawing it can wreak havoc on the plants (which, depending on the snow that year, I may or may not be able to see). That is also why I cut the foliage back in the fall. I generally wait as long as I can so this is usually late November or if it's really mild, early December. I do this because I have learned over the years that having all of that foliage sitting on top of the crown in the spring is just asking for trouble in these parts.
I don't treat the semi-evergreens or evergreens any differently than I do the dormants. They will usually put up a new leaf or 2 until they are covered with snow at which point they almost all go dormant. This past winter, as cold as it was, EVERYTHING that was outdoors went dormant.
Until you are super comfortable with how daylilies respond to your climate, I would advise against adding or moving plants past the 1st of September. That's not because they are all going to die if you do, but more to give you the piece of mind that barring the most extreme of circumstances they will be fine and it gives you a chance to see how they respond to the changing conditions.
Welcome to the cult...
