Do we need to specify an itinerary for our entire trip?

We are going to China for two weeks, travelling independently. We have a hotel reservation for three days when we first arrive and for the last days before we leave, but we have not booked accommodation in between, because we want to travel around, and aren't clear of our itinerary yet. The visa application requires us to specify our entire itinerary. What should we do? It also requires us to state the name of our inviter to China. What should we put? Thanks.