Is it okay to travel around Beijing like this for four or five thousand?

It's basically enough if it's not a big traffic. Gaoshang suggests that you choose to form a group independently. There are several lazy routes, which you can refer to:

The five-day tour of Beijing Capital's fine food, the five-day pure play quality tour of Jingyun's special leisure vacation are all good, and there is even a six-day tour of Beijing and Tianjin, a six-day tour of Beijing and Tianjin. If it includes the budget of 4, yuan for transportation, some aspects need to be reduced. It is best to find friends and relatives to travel together, so that the average cost is lower. If about 1 people travel, they can travel independently in Beijing according to their products {5-day tour with deep characteristics of Beijing food culture}, which is less than 2, yuan. It is OK to control the cost of transportation within 2, yuan.