Nicholas, I usually exchange gifts and have something to eat with my parents and family. They understand, even though they are not always understanding - this is a special time for them, whether I recognize it the same way or not; and I suppose it is also special for me.
But I do like to get this whole gift exchange distraction out of the way before the true Nativity comes. It actually works out quite well.
For the children, I make the distinction by calling the new calendar dec. 25 "Christmas", and the Nativity of the Lord, "the Nativity".