Fiancé in China, may teach, may get married!

I plan to fly to Beijing, where my fiancé will meet me, then we will take the train to Jinan- her home. We intend to travel all over Mainland China, then to Shanghai and, possibly Hong Kong. If possible, i would consider teaching English in Jinan.
My fiancé is mailing my invitation letter, today. In the meantime, what kind of visa should i consider?