Tourist visa for over 3 months

Myriam, in my opinion, you can apply for a three-month double-entry permit or 6-month multiple entry permit. However, if you have not visited PRC before, it's not easy to get the latter. If you can get the 3-month double-entry with a stay duration of 30 days, you can travel to China on Aug 27. Then exit mainland PRC to Taiwan, stay there for 3 weeks and go back to mainland. Then you can stay for another 30 days. Before the 30 days are used up, go to the local exit and entry administration office to extend your L type. All these processes are only possibilities. I'm not sure whether everything can go smoothly.

Anyway, if you can't extend or get the double or multiple entry permit, you can use the single-entry to enter. Then travel to HK to apply for another entry permit to mainland.