There will be other options, such as buses that go up to the Castle Hill, but we opted for the more authentic experience. It was really nice, and it was not that more expensive than the buses.
St. Stephen’s Basilica, Budapest Parliament, Holocaust Victim Monument - Shoes on the waterfront, Szczecin Chain Bridge, Buda Castle, Castle Quarter, Fisherman's Bastion, funicular, and zero kilometers, as well as breakfast lunch and all sorts of goodies in different places. It was an excellent adventure!