Again, while there are no Orders in place there is no obligation for a parent to provide the other parent with either an address or contact details. If the relationship is one fraught with Domestic violence and a risk to safety exists, or the other parent has threatened to take the children, then it could be more than reasonable to not provide your address details.
If you do not provide your phone number to the other parent, then we do suggest (unless to do so would be harmful to you or the children) you at least have an ability for the other parent to contact the children such as Skype, email, or children’s own mobile phone.