ℹ️ Short answer: Buda Castle is free to walk around: the streets, the palace terraces and the lower level of Fisherman’s Bastion cost nothing. You only pay for what’s inside: Matthias Church 3,400 HUF (about €9), the Bastion’s upper terrace 1,700 HUF (about €5), the National Gallery 5,800 HUF (about €16). Take bus 16 from Deák Ferenc tér rather than the 4,500 HUF funicular. Go before 9:00 to have the Bastion mostly to yourself. Buda Castle sits on a limestone ridge above the Danube, and most of what people come for there is outdoors and free. The confusion is about the rest: which parts of Fisherman’s Bastion cost money, whether the funicular is worth 4,500 HUF, and which of the dozen ticket desks on the hill are worth queuing at.
ℹ️ Short answer: Stay in District V (Belváros-Lipótváros) for a first visit: it’s walkable, central and on three metro lines, but it’s the priciest. Choose District VI (around Andrássy út) for a calmer, elegant base, District VII for food and nightlife (pick a quiet street), or the Palace District in VIII for value. The Castle District (I) is for quiet and views. Stay in Pest, not Buda, unless quiet matters more than convenience. Where to stay in Budapest is mostly a question of noise and walking distance. The city’s best areas sit within a few kilometres of each other, on either side of the Danube. The difference between a great base and a tiring one is often a single street: the same District VII block can be a charming courtyard hotel or a room directly above a club that closes at dawn.