You Will Have More Influence on Them
Your child is exposed to many influences. And the older he becomes, the more he is likely to adopt his peer group's frame of reference. But the closer the relationship you have with your child, the more likely your child will continue to identify with you. You will, therefore, be in an advantageous position to instill your positive values and increase the likelihood that they will be accepted. The more love and respect (as opposed to fear and anger) your child has for you, the more likely it is that he will incorporate his sense of you in himself. He will act more like you.
It is to be expected that your son will be more likely to identify with and feel closer to you than your daughter may. However, you will still be a terribly important role model for her if she feels a loving connection between the two of you. And she will be more likely to choose a man who will reflect your positive traits for her lifemate later on.