Visa for 60 days in china

I am unsure which type to apply for; a business or tourist. I am a NZ passport holder applying in Melbourne planning to stay in harbin for 59 days, however it says I will need to ask to stay longer than the normal 30 days. However if I need to provide my flight details then this means I will have to book the flight before I know I am allowed to stay for the 59 days that I need which seems risky. Or do I not need to show confirmation of flight details?

I am training at a sports facility playing table tennis, and have been advised to apply for a business F and will need an invitation letter from the host which I can get but do I also need to provide a business letter from an australian company as this may be hard to get?