North · 3 nights · September to early November, then late March to May
Beijing
Courtyards, coal-scented lanes, and a palace that still sets the clock for the rest of the country.

Capital, hutongs, a day on the wall
Beijing is not a single postcard of yellow roofs. The useful way to hold it is in layers: the palace and the parks inside the old city, the hutongs just north of Beihai where breakfast is still cooked on a drum griddle, and the ridgeline an hour and a half north where the wall actually climbs. Give the Forbidden City a morning, not a dash between tour groups, and book the timed ticket with the same document you will show at the gate. Evenings belong to roast duck or a bowl of zhajiangmian, not to another monument.

Mutianyu in autumn. Treat the wall as a full day, not a backdrop between meetings.
See
Forbidden City 故宫
Timed entry. Closed Mondays. Enter from the south and leave north toward Jingshan if your knees allow the hill.
Mutianyu Great Wall 慕田峪
The calmest famous section. Cable car up, walk a stretch, toboggan down if you like. Skip Badaling unless your tour gives you no choice.
Beihai and the hutongs 北海 · 胡同
Rent nothing. Walk the lanes north of the lake in the morning, when deliveries and breakfast stalls are the traffic.
Temple of Heaven 天坛
Go early for the park, not only the hall. The echo wall is a sideshow; the cypresses are the point.
Eat
Peking duck
Order the bird, not a set banquet you will not finish. A known shop beats a hotel carving station.
Zhajiangmian
Wheat noodles, pork sauce, a pile of raw scallion and radish you fold in yourself.
Jianbing
Breakfast from a street griddle. Ask them to go easy on the sauce if you want to taste the egg.