One cannot balance the power of the deep family memories that Christmas holds for Christians with Jewish memories of Hannukah. It just doesn't work. First of all, Christmas is perhaps the most significant holiday of the Christian year, filled with family memories for most Christians. Most Jewish families have family memories of time spent together on December 25th, too. Children are not in school.
Relatives can come to visit.
Being together is what family memories are made of. For Christians, and many Jews too, December 25 is a prime time of year when families are together. Special shared family times create family memories. Unless Hannukah falls right around December 25, parents are usually working, evening meetings go on, children are in school. Do not work on Friday evening and Saturday.