If you want to go to Xidan or Wangfujing, you can take bus 10 at Changchun Street.
If you want to go to new landmark buildings, such as the Water Cube and the Bird's Nest, you can take Metro Line 2, change to Line 4 in Xizhimen, then change to Line 10 in Huang Zhuang, and then change to the Olympic Green Line. Anyway, as long as it doesn't leave the station, it's 2 yuan. If you feel a little dizzy, you can ask the station service staff. In fact, I sometimes feel dizzy when reversing by subway, but after all, you can see the Olympic venues as soon as you get out of the station, because it is not as convenient to take a bus there as it is in the old city.
By the way, to the Summer Palace and Zoo, you can take Line 2 and Line 4 directly.
If you want to go to a distant place, such as the Great Wall, you can sign up for a regular day trip in your hotel. Attention! It must be formal, otherwise it will affect your mood of coming to Beijing.