From the Airport
Very reasonably priced airport shuttle-bus services operate between both Cappadocia airports and the various villages. They must be pre-booked. If you have booked your accommodation the easiest solution is to ask your hotel to arrange an airport-shuttle pickup for you, though be aware that some hotels beef up the price of shuttle transfers ridiculously. You can also book directly with the shuttle-bus services.
There are a few companies to choose from but Helios Transfer and Cappadocia Express seem to be the pick of the bunch, with services operating for all flights coming into and going out of both airports. Both will pick up from and drop off to hotels in Avanos, Çavuşin, Göreme, Nevşehir, Ortahisar, Uçhisar and Ürgüp.
Car & Motorcycle
Cappadocia is great for self-drive visits. Roads are often empty and their condition is reasonable. There is ample parking space, but pulling up outside some cave hotels can be tricky.
Dolmuşes (minibuses; ₺3 to ₺4 depending on where you get on and off) travel between Ürgüp and Avanos via Ortahisar, the Göreme Open-Air Museum, Göreme, Çavuşin, Paşabağı and Zelve. The services leave Ürgüp otogar (bus station) hourly between 8am and 7pm. Going in the opposite direction, starting from Avanos, the dolmuşes operate hourly between 8am and 8pm. You can hop on and off anywhere along the route.
There are several other dolmuş services between villages.
The Ihlara Valley in southwest Cappadocia can be visited on a day tour from Göreme. If you want to visit it independently plan to spend the night, as bus changes in Nevşehir and Aksaray prolong travelling time.
Taxis are a good option for moving between villages, particularly during the evening when public transport stops. Meters operate but for longer trips including waiting time – eg to Soğanlı or Ihlara – a quoted flat rate is the norm.