From the Air Port:

It takes approximately 45 minutes from Athens Eleftherios Venizelos Airport and then a 45 minute Ferry ride across to the island, on which you can take your car with you.

OR

Coach Service is available (KTEL Buses) to Agia Marina Port and a 45 minute Ferry ride to Nea Styra.

Taxis are available on the other side next to the Corner Stall on the Left Hand Side of the docking area.

OR

From Athens with your car via Chalkidabridge and after you drive to Southevia direction to Karystos, about 2-2.30 hours nice trip until the cottage.