Visit the vast civic square early to avoid crowds and see Monument to the People's Heroes and the Great Hall of the People; outdoor, iconic for photos.
Explore the imperial palace complex; in January expect shorter lines but cold—most halls open 8:30–17:00 (hours may vary), prebook timed tickets online.
Wander narrow alleys and lakeside hutongs to see courtyard homes and traditional life; many small operators run 1–2 hour tours—book in advance for English guide.
Depart northbound (~1.5–2 hours depending on traffic) to Mutianyu, a well-restored section with fewer crowds than Badaling; winter roads clear but cold.
Hike along restored battlements and enjoy sweeping mountain views; cable car operates ~8:00–17:00 in winter—check seasonal schedule and bring warm layers and traction shoes.
Stop briefly to view the exterior of the 2008 Olympic venues and take photos; venues open for external viewing any time, indoor tours have varied hours.