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You can see Margaret Island, Castle Hill, Gellert Hill and the great sprawl of the Pest side of town on the opposite bank.
BBC: A Danube-led tour of Budapest
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Opposite the entrance to the baths is a walk up Gellert Hill, through a park where you can hear nightingales in early summer.
BBC: A Danube-led tour of Budapest
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Once you reach Gellert Square, try the natural spring baths, which are expensive for a couple of hours, but a bargain for a half or even a whole day.
BBC: A Danube-led tour of Budapest
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Once the track reopens at the end of this month, and for barely a euro, you can ride the number 19 or 41 tram along the western bank of the Danube all the way to Gellert Square, with an excellent view of the river and the Pest embankment.
BBC: A Danube-led tour of Budapest