Private Departure Transfer: Mykonos Hotels to Airport or Cruise Port. Arrange for a stress-free ride to Mykonos Island National Airport with this private transfer service. Meet your driver at your hotel or private residence on the island of Mykonos, and relax on the journey to the airport in a climate-controlled vehicle. Book with us and Save 10%! Private Departure Transfer: Mykonos Hotels to Airport or Cruise Port.