Chanukah gifts are not a thing. There are 6 other Jewish holidays where gifts are not only a thing that Jewish law requires a man to provide for his wife and children.
On Chanukah, it’s all about the gelt which it talks about in Mesechtas Shabbos about not even being able to count your gelt, money, by the light of the Chanukah candles. Which is one reason why we have a shamush.
