We have authority as believers in this world (Eph 1:22-23). We have authority over the devil. Our authorty is granted to us because of the finished work of Christ on the cross. He died for our sins, for our salvation, but in that finished worked he also brought us victory in THIS life(Romans 8:37). We are victorious because we are joint heirs, we are seated with Him in the heavenly places(Eph 2:6), we are the BODY of Christ.
The problems arise when we don't excercise our authority. The power is ours and it is our responsibility to operate in and excercise that power. We have authority over our lives, the devil, our homes and families. We need to be taking that authority by covering ourselves and our families in prayer.
Don't let lack of time, obligations and even service to your church get in the way of taking time to cover your family in prayer. Invoke the mighty name of Jesus and take your authority. We have a real enemy who is "roaming about like a roaring lion seeking whom he may devour"(1 Peter 5:8). Don't open the door for him by forsaking prayer, and not binding him by the mighty name of Jesus. We need to incorporate this into our daily prayer lives.