I was looking for family of mine in USA, but saw also your message. I don't know anything about the Kjaers, but I just looked up the phonebook of east jutland, where Skanderborg is situated. There was at least a hundred Kjaers. It is an pretty ordinary name in Denmark, you know. Not only one, but many families have this name, meaning something like wet fields (I don't know the correct english term). You might try to find theese names at the phone companyes website:
www.teledanmark.dkbut I am afraid it is in danish.
Lars Kjaergaard