A world away from TV dating reality shows, raucous party boats and the VIP areas of nightclubs in the Balearics, the Italian islands are hard to beat when it comes to understated chic.Harder to reach too, and generally more arduous places to purchase a home in, the islands can offer property hunters something special. TV and film producers know this well: picture the Baroque palazzos of Inspector Montelbano’s Sicily, the private beach of Ischia or the winding cobbled streets of neighbouring Procida used in The Talented Mr Ripley.For wild empty beaches, secret coves and quaint fishermen’s houses lining ancient quaysides, the islands in the Gulf of Naples are a good place to start, reached by ferry from Naples.The nearest island, Procida, is far less well known than its glamorous sisters Capri and Ischia, will be on a few more people’s radar now that it is Italy’s Capital of Culture for 2022, thanks to is art, urban regeneration, and sustainability initiatives.