Paradise Cyprus is set in a rural Cypriot village dating back to 8000 BC, and is not famous for its night life.  However if that is what you want, there are bars, cocktail bars, jazz clubs (Cyprus has very good jazz), night clubs, open air beach night clubs in Limassol, Larnaka and Nicosia.  Limassol is probably the best place to head.  The house is a four minute drive from the motorway, and you will be in Limassol in 25 minutes - so its totally possible.