Bodrum-Milas airport is 35 km away from Bodrum and many flight companies operate charter flights to Bodrum in Summer season. There are also Dalaman and Izmir Airports which are 3 hours far away from Bodrum.
From the Airport: There are Havas Shuttle services in accordance with each planes' arriving to the domestic lines of Bodrum Milas Airport. Ticket Fee from airport to Bodrum Center is 17.00 TL, journey takes 40-45 minutes.
Food and drink costs at the airport are astronomical. For example, a can of soda costs about 5 Euros whereas it would be a fraction of that in the city. Take this into account before arriving at the airport.