Hévíz and Cserszegtomaj
Hévíz grew up around a lake fed by warm springs, and you can swim in it all year, from a bathhouse on stilts in the middle, with water lilies on the surface in summer. The town is mostly spa hotels, flats and cafes. Cserszegtomaj is a hillside village of vineyards just above it. Keszthely and the western end of Lake Balaton are about ten minutes away, and Budapest airport around two and a quarter hours by car.
Best for: Bathing in a warm natural lake, summer or winter
Not for you if: You want lively evenings: Hévíz is a spa town with an older crowd and quiet nights.