You don't have to, but it generally doesn't work in a party's favour if the matter ends up in court. Consider the consequences of not telling her - is she going to withhold the children if you refuse to tell her? Is it going to create or prolong conflict? Is the mother going to interrogate the children inappropriately to find out through them? If any of these things are risk factors and are likely to cause problems for the kids, then you should probably just tell her. You're already protected by your DVO, but the kids aren't protected from her denigrating you or being interrogated by her or refused their time with you because you won't tell her your address. Of course, you shouldn't have to tell her as is your legal right, but if it's going to minimise the risk of exposing the kids to conflict, then it's probably in the best interests of the kids to just tell her.
