Bratislava, Slovakia’s quaint little capital, straddles the Danube close to the border with Austria and Hungary. The compact old town is the best place to begin your exploration, before heading up to the hilltop castle for commanding views of the city and surrounding countryside.

Esztergom was the birthplace of St Stephen, the first king of Hungary, who was crowned here in 1000 AD and converted the kingdom to Catholicism. The picturesque town is dominated by the magnificent Basilica, which towers high above the Danube.

Budapest is one of Eastern Europe’s most appealing cities, a vibrant and welcoming capital that straddles the Danube. The history of Budapest has been somewhat turbulent, but plenty of beautiful buildings survive, including the imposing Parliament and iconic St Stephen’s Basilica.

Mohács was the scene of a decisive battle in 1526 that brought Hungary under Ottoman control, but is best known these days for its Busó carnival in February, when men in creepy-looking costumes take to the streets to celebrate the end of winter. The town is also a jumping off point for the attractive city of Pécs, half an hour’s drive away.

Kalocsa is known for its paprika, the ‘red gold’, used to flavour Hungary’s national dish, goulash. Look out for garlands of paprika hanging from the walls of local houses. The town is also famous for its beautiful embroidery, and excursions may take you out into the grassy steppe of the Puszta region.