Lurkette had some good advice on how to deal with this kind of submissive urination, but you need to be aware just how long the change can take. I've had once dog that had this problem, and have been exposed to two others that family members had. In each case it literally took years for the dog to totally stop. One other thing that can be frustrating, is that even after the dog has stopped urinating in response to you or the people you live with, as soon as a friend or relative that the dog doesn't know shows up, the waterworks usually start again.
You've just got to decide how dedicated you are to keeping the dog and improving the behavior. I know I had a damned hard time dealing with mine that would roll onher back when I went to pet her and make a fountain straight up over my hand.
