Bhaktapur is popular for short day hike from Kathmandu or from any city around the Kathmandu valley. The best way to start day hike is from Changu Narayan temple, the oldest temple of Nepal. From Bhaktapur to Changu Narayan is about 2 and half hours of hike but if you wish you can skip by travelling by bus /car/bike to Changu Narayan Temple. Start hike about from Changu Narayan to Nagarkot at a medium pace and tend to stop a lot for photos, lunch break or tea break at Telkot, From Telkot to Nagarkot view point. It’s the perfect hike around village to see the outskirts of the city and real Nepali life. In the morning, people will be doing laundry, feeding the cows and goats etc.
At the end of the main road to arrive in Nagarkot, there’s a small entrance fee to enter Nagarkot and you can stay as long as you like once you pay. Some hotels are located directly in town, however, the best view is another 15 to 20-minute walk around. There are many hotels, guest house, homestay etc as per your budget. You can have night stay in Nagarkot for great Sunset and Sunrise view if not you can return to Bhaktapur or Kathmandu in the evening after capturing great view of Sunset.
If you have time you can have night stay at Nagarkot and start another day hike from Nagarkot to Dhulikhel and back to Kathmandu or night stay in Dhulikel another popular tourism destination.