More cosmopolitan than Prague, more romantic than Warsaw and more beautiful than both, Budapest straddles a gentle curve in the Danube, with the Buda Hills to the west and what is essentially the start of the Great Plain to the east. With parks brimming with attractions, museums filled with treasures, pleasure boats sailing up and down the scenic Danube Bend, Turkish-era thermal baths belching steam and a nightlife throbbing until dawn most nights, the Hungarian capital is one of the Continent’s…