Where to stay in Prague, Vienna and Budapest?

On Melounová, in Prague 2, 800 m from the centre, between Wenceslas Square and Vinohrady. You walk to the Old Town in a quarter of an hour, or take the tram, and get back without a taxi.

On Odborů, in the New Town, 1.4 km from the centre, near the Vltava. For those who want a polished hostel and walk to Wenceslas Square and the riverside.

On Veleslavínova, in Prague 1, on the banks of the Vltava, 2.1 km from the centre. You sleep facing the castle and Malá Strana, with Charles Bridge two minutes' walk away.

On the bank of the Vltava, a few steps from Charles Bridge, on the Old Town side.

On Nebovidská, in Malá Strana, 2.5 km from the centre, on a quiet street below the castle. For those who want the silence of the Baroque quarter and Petřín on foot.

Housed in a former Dominican monastery; the spa occupies the old chapel.

On Tržiště, in Malá Strana, 3 km from the centre, at the foot of the castle. You walk up to the castle in the morning and back down to Charles Bridge in the evening, in a Baroque setting.

Hostel in the centre of Vienna, for this stop. You save the budget for Schönbrunn and the evening concert, and reach the Ring and the cathedral by U-Bahn or on foot.

On Robert-Hamerling-Gasse, in Fünfhaus, 3.3 km from the centre, near the Westbahnhof. For those arriving by train who don't mind the U-Bahn to reach the Ring and the Naschmarkt.

On Rembrandtstraße, in Leopoldstadt, 1.5 km from the centre, near the Danube Canal. You cross the canal on foot and you are in the centre, or take the U-Bahn nearby.

Historic grand hotel for this stop, for those who want the imperial Vienna of cafes and salons. An address for anyone for whom the hotel is part of the trip.

Opposite the Opera, a hotel since 1876; the original Sachertorte is served in the hotel's cafe.

On Am Hof square, in the Innere Stadt, 500 m from the centre. You are in the middle of the old centre, five minutes' walk from the Graben and the cathedral.

In the former headquarters of the Länderbank, on Am Hof square, five minutes' walk from the Graben.

On Király utca, in Erzsébetváros, 1.3 km from the centre, at the edge of the Jewish Quarter. You walk back from the ruin bars and reach the basilica in ten minutes.

On Csarnok tér, in Ferencváros, 2 km from the centre, next to the Great Market Hall. You cross Liberty Bridge on foot to Gellért Hill and the baths.

On Széchenyi István tér, in Lipótváros, 600 m from the centre, facing the Chain Bridge. You cross the Danube on foot to Buda and the Fishermen's Bastion.

The Gresham Palace of 1906, an Art Nouveau facade at the Pest end of the Chain Bridge.

On Erzsébet tér, in Lipótváros, 900 m from the centre, on Deák Ferenc tér. You are at the junction of the three metro lines, within walking distance of the basilica and Váci utca.

On Váci utca, in Belváros, 1.2 km from the centre, at the end of Elisabeth Bridge. You cross on foot to Gellért Hill and stroll back up Váci utca in the evening.

A 1902 palace at the Pest end of Elisabeth Bridge, at the end of Váci utca.