If your holiday is in Fethiye or anywhere around it, Dalaman Airport is the natural choice. It sits east of Fethiye along the coast road, and the drive to Fethiye town is only about 55 kilometres. Göcek, the yachting bay, is even closer at around 25 minutes, and Ölüdeniz is roughly an hour and ten minutes away.
Antalya Airport also works, but it is a much longer ride over the mountains and along the Lycian coast. It is worth considering only when the flights suit you far better, or when you are combining Fethiye with a stay on the Antalya side. You can see the live fixed prices for the direct ride on the Dalaman Airport to Fethiye route page.