Seeking Berlin Christmas Market Suggestions

I will spend the first three evenings in December in Berlin. I have a Lazy Web request: what Christmas markets should I visit?

Three of my AIs tell me to visit the prettiest one at Charlottenburg Palace. I plan to go after dark, when the illuminated palace is at its best. It will bring back memories of old flame Stephanie at the decommissioned checkpoints in 1992.

I want to capture images of a traditional market like my dad visited in the early 50s.

I also want to return to Alexanderplatz and possibly go to Gendarmenmarkt on one evening.

So if you have visited these places, please let me know what you enjoyed most.