Tambo, when have you seen a hanukiah in a non-Jewish home? Can't say I have. There are people who put a wooden,usually stepped frame, often in the shape of a tree, in the window or the house, which has a lot of small candles on it. That's the kind of thing you see a lot of in Sweden and Germany.
A Hanukkiah is like a menorah, consisting of eight lights, all level,in a line. on a metal candelabrum, with a ninth light on a separate branch in the middle, raised higher or lower than the others. A light is lit on each day of the eight day festival of Hanukkah, which normally ends a few days before Christmas; dictated by the Jewish calendar, of course