First of all: Görlitz is one of Germanys most beautiful towns, and deserves one or two days, especially if your family comes from there. Consider two or three nights in Frenzelhof, a wonderful small hotel in a Late Gothic merchants home from the 15th century with a private chapel. You can use Görlitz as a base to see Bautzen and maybe the Zittau mountains. Bautzen is the historic capital of Upper Lusatia (the region where Görlitz is located) and the Sorbs. If you want to know more about the Sorbs visit the museum in Bautzen, which is also a pretty nice town, with a Baroque old town surrounded by medieval fortifications.
The Zittau mountains are probably not THAT picturesque in late November, but offer one of the country's most spectacular castle ruins (Oybin), on a mountain that looks like a bee hive. You can take a nostalgic steam train to get there from Zittau, and the village features cute little Upper Lusatian houses, which are typical for the area.
I am excited with the time of the year because of the Christmas markets.
In this case: Saxony is Germanys Christmas country. Period. No other region of the country has influenced Christmas more than the area between Erfurt and Görlitz. The epicentre are the Ore Mountains to the south of Dresden. All the handmade wooden Christmas toys you see on every German Christmas market are made there. There's a village, Seiffen, with nothing but Christmas shops all year round. And the people there also celebrate Christmas like no one else in the country. You could see one of the big miners parades for example, which are part of the festivities before Christmas, just like the markets.
Here are a few articles:
Longing for light
11 Reasons Why Germany's Ore Mountains Sparkle During Christmas
Dreaming of an Artisanal Christmas
It’s Always Christmas in the Ore Mountains of Germany
And btw: Dresden offers one of Germanys largest and oldest Christmas markets, Bautzen is probably the oldest of the country, and Görlitz one of the most beautiful. Oh, and the perfect souvenir from Upper Lusatia during that time of the year is a Moravian Star from Herrnhut, a few kilometres to the west of Görlitz. You can buy them on ever Christmas market.
So, forget Potsdam (the parks aren't THAT great in late November) and Magdeburg, and divide your time between Berlin and Saxony, according to your interests. Berlin is the big metropolis, and Saxony offers everything from old historic towns (Görlitz, Bautzen, Meissen), castles and palaces (Meissen, Königstein), to nature (Saxon Switzerland, Zittau mountains), museums (Dresden) and cute villages (Upper Lusatia).
With a few more details about your ancestors I could probably tell you a bit more about Görlitz and the region...