Shanghai - Shopping, look at the modern side of china, Huang Pu Jiang is nice.
Can also take go for some day tour to nearby Hang Zhou to see West Lake. And also go to Zhou Zhuang to see village by the river.
Beijing - Capital of china, lot of historical places, forbidden city, summer palace, yuan ming yuan, heaven's temple and great wall etc etc.
And Oct-Nov is so call a good season to visit beijing (autumn)
There is a place for Xiang Shan (Fragrant Hill) which have Red Leaf during this season, it quite beautiful if u manage to go at the right time.
Huang Shan - No. 1 mountain in China. There's a saying in china that after u visited Huang Shan, u don't need to visit other mountains in china.
Jiu Zai Gou - Beautiful place. Shu zai shui zhong zhang, shui zai lin zhong liu, ren zai hua zhong you. Another sayings in china, after u visited Jiu Zai, u won't need to visit other water scenic tour site in china.
But many accident happen due to the uneven & unsafe road.
Yunnan - New rising tourist spot in china, Li Jiang, a newly opened tourist attraction. Shang'ri'la, beautiful place. (If i have the time & money, I'll will go to Yunnan)
Harbin - If u like to see Ice Lamp and ice scrap, winter is the prefect time to go but it's damn cool....
Just keep in mind, there is a lot of trickster/bian zi china....they will try hard to bluff or cheat your money etc....Especially during buying thing or offering tour service area, just be more street smart. No matter how well prepare u are, u sometime will get into their trap becos they r well-trained. But dun worry, they just wanna earn extra money from u, they won't used force etc.
BTW, i'm going to Beijing for holiday next friday. Hope be able to catch the Red Leaf season at Xiang Shan.