A little fact-finding and some education on your behalf can not only make an interview a better experiece for you, but a better story in the end. Decide what your boundaries are with your children and other family members. Depending on the age of your children, they may or may not want to talk to the media or be that visible. Construct your main messages. Do some research and planning.
Anecdotes are much more effective because they resonate more with readers and viewers.
Think about what questions you will be asked. Trust me, there are no more than a few obvious questions. Unpredictable questions generally tend to be rare. Dumb questions are a different story. If you get one, avoid being defensive, just educate within your reply.