I do not plan on staying at one hotel during my visit. How do I prove reservations?

Richard from Wisconsin, USA: I am just beginning to research the requirements of visiting China. I do not want to stay at just one hotel. Can I book a hotel for a few days and then transfer to another hotel once I am there and know the environment. I don't even know which cities I want to visit. I am looking at the very southernmost island. Thank you in advance!