When Chanukah falls on Friday night, we light the Chanukah candles before lighting the Shabbat candles (today at 5:06 pm).
On Saturday night, we wait for Shabbat to end at nightfall (this Shabbat at 6:03 pm), recite Havdallah and then kindle the Menorah.
See www.JBayArea.org/Chanukah for a complete Chanukah guide, including the blessings for lighting the candles.
Happy Chanuka and Shabbat Shalom!
*Above times are for the Clear Lake Area