If you have been to China before, I think you could visit Beijing by yourselves of course. So did I. Otherwise, please consider asking a travel agent to arrange a private for you, by which you could decide where to go independently.

Woule like to experience local life? So, a hotel of these courtyard in a Beijing Hutong will meet your need. You could explore the nearby food market, supermarket as well as having breakfast at a local restaurant. Last summer, I stayed at a hotel in Dongsi area, a nice region.