This information about transportation options in Feltham might help your romantic trip get off to a smooth start: To get to Feltham, book a flight to Heathrow Airport (LHR), which is the closest major airport, located 2.5 mi (4 km) from the city center. Head over to Hatton Cross Underground Station to catch metro. If you want to explore the larger area, ride aboard one of the trains from Feltham Station.