Stari Grad and Dorćol: pay for walkability
Stari Grad is the best base for a first visit: Knez Mihailova, Kalemegdan, Republic Square, and many restaurants are within walking distance. Dorćol gives a similar central position with more neighbourhood cafés and easier access toward the Danube. Both can be noisy on weekend nights and street parking is scarce. Book accommodation with confirmed private parking if you are driving; a central address alone does not solve the car problem.
Vračar: quieter evenings and a residential base
Vračar suits travellers who want the Temple of Saint Sava, local restaurants, and a calmer place to sleep than the busiest central streets. It is still straightforward to reach the old centre by taxi or public transport, but it is less convenient for a late walk back from the rivers. This is a good compromise for couples, longer stays, or anyone who prefers cafés and neighbourhood streets to nightlife at the door.
Savamala, the river, and New Belgrade: choose for access
Savamala and the riverfront are handy for nightlife and some transport connections, but check the exact block for construction, traffic, and late music. New Belgrade makes sense for business travel, large hotels, or easier driving and parking; it trades historic-centre atmosphere for wider roads and longer walks. Apartments can be good value in every district, but verify lift access, heating or air-conditioning, and the check-in time. Use the sightseeing route and food neighbourhood notes to choose a side of the city before booking.