travelling in china

Hello. I am going to Wuhan in August, will have a month internship there. This will be my first time to China.
Do you have any recommended places that I should go, but OUTSIDE Wuhan (maybe Beijing, or Shanghai, or Macau?)
I don't know where is the best travelling place in China if I stay most of my days in Wuhan. And I just have about 3-4 days to travel.
What about the Panda's habitat? Is it recommended, especially like in my case?
Thanks