Put on your hiking boots and head for the hills—the agreeable autumn weather is perfect for exploring the many outdoor jaunts around Budapest.

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Csóványos

For those willing to make a longer journey, bring a good book for the two-hour ride from Budapest to Királyrét, whence the 938-metre summit of Csóványos Peak can be reached. A towering look-out point reaches up to the sky, which affords views as far as Slovakia.
2643 Diósjenő

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Csúcsos-hegy – Ranzinger Vince-kilátó

Take the train to Tatabanya and head towards the Gerecse Gate Tourist Centre to begin this hike. The 30-metre tower commemorates miners in the area who died in a 1978 accident. Vince Ranzinger, who lends the tower its name, was the director of the Hungarian General Coal Mining Company. The tower is located at the top of Tatabánya Hill. There’s even a Geocache hidden somewhere in the area, if you can find it.
http://www.geocaching.hu/poi.geo?id=740
2800 Tatabánya 

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Julianus Lookout Tower

Another spot along the Danube is the Julianus Lookout Tower, which stands 482 metres high. The tower itself is 15 metres, and resembles a medieval bastion. Along the hike is a detour to the Remete Caves, which can be fun for the young ones to explore. From Nyugati station, it’s a 45-minute journey to Nagymaros-Visegrad, the nearest setting-off point for the Lookout Tower. 
2626 Nagymaros

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Nagy-Kopasz – Pál Csergezán Lookout Tower

An hour outside the city, this hike delves deep into the wooded hills of Buda. Nagy-Kopasz is the tallest hill in the region, which translates somewhat hilariously as ‘The Big Bald’. Csergezán Pál Lookout Tower offers spectacular views, and on clear days you can see the far-off horizon which leads towards the Tokaj wine region.
2071 Páty