Minister (verb): Attend to the needs of someone, care for, look after, help, assist, serve
People should take care of their families — perhaps that sounds like an obvious statement to say. Even as you read this, you may be getting ready to go off to work to earn money for your family. Perhaps you have chores to do today to help your household. Perhaps you have a sick or elderly family member you are caring for.
The vast majority of people assist their family in one way or another. This includes those who are servants of God as well as those who are not. Although caring for a family is not necessarily tied to serving God, it is something that any servant of God should take seriously — "ministering" to your family is not only the right thing to do, but it can also have spiritual ramifications.