I think that the Desert Warrior does not have the firing pin block, and the Eclipse does. A lot of people deride the firing pin block on the Kimber Series II, but I can't for the life of me figure out why. It is activated off the grip safety, so it doesn't change the trigger pull, and is about the most simple device I've ever seen. Sure, it wasn't part of JMB's original design, and I know that all machines can fail no matter how simple.
You will have a lot of people tell you that safety is between the ears, not between the hands... Rubbish. It's both. I carry a Kimber Pro Carry II HD. For my money, I like to have that extra layer of security the firing pin block offers.
Another thing, is that you will read a lot of posts from people bad-mouthing Kimber. While it is possible to get a bad one, you probably won't. What you will get is a sidearm that temporarily trades out-of-the-box reliability for improved accuracy. I don't know which one of these would be more accurate, but for self-defense/home-defense, either will be accurate enough.
Out of the box, either of those pistols will be VERY tight, and will take some time to break-in. If you've never shot a .45 before, you probably will limp-wrist it a lot at first. Those two things alone will cause stoppages, and are probably the cause of %75 of Kimber trash-talk.
Resist the urge to feed it with 8-round magazines until you're sure that any unexpected kinks are worked out. In fact, resist the urge to "tinker" with it at all until you've got at least 1000 rounds down-range. It will take you that long to get used to it, and you'll enjoy that anyway.
Another thing you need to make sure of is that you clean it really well BEFORE you shoot it for the first time.
I don't think that the shiny finish of the Eclipse will hamper concealability. However, it will tend to show holster marks, scratches, and wear more easily than the DW. I've had my Pro Carry II HD for about a year and a half, and it does a good job of hiding blemishes.