Another option for a 2-3 hour ride : head up Zugerberg either from Zugerbergstrasse (bus route) or Weinbergstrasse (less traffic and more popular for cyclists); descend from the other side side of the hill toward Aegeri, and return to Zug on Zugerstrasse for a fast straight ride.

I too intend to start riding these routes (including the longer ones above) from Dec onwards, so we might meet on some of them.

And welcome to the forum and Zug