10 days
Three days is enough to see the palaces, walk the Great Wall and get lost in the hutongs. This plan works well with a 240-hour visa-free stopover.
Start at Tiananmen Square, then spend the morning in the Forbidden City. Book tickets in advance and note it is closed on Mondays. Climb Jingshan Park for the view over the golden roofs, and finish with Peking duck.
Drive to Mutianyu, about 90 minutes from the city. Take the cable car up, walk a section of restored wall and ride the toboggan or cable car down.
Watch locals practise tai chi at the Temple of Heaven in the morning, stroll the Summer Palace after lunch and end the day in the hutongs around Houhai.