From Kemer town (25 km), the dolmuş to Çıralı is technically possible: take a Kemer–Kumluca/Kaş dolmuş to the highway junction, then wait for the connecting minibus 7 km down the valley — which departs only when it has enough passengers. In practice, the outward journey works; the return in the evening, after a day at the beach and a Chimaera hike, is the problem. The last valley minibus leaves before 20:00, and at that point, your options are a phone call to a Kemer taxi or an overnight stay.
Rental car solves the transport problem but introduces the valley navigation issue and the returning-after-dark question. The Chimaera hike from the valley involves 20–30 minutes uphill in darkness; returning to find your rental car after 21:00 on a dark, unlit valley road is less comfortable than arriving at a waiting driver.
For Antalya and Belek guests, the Çıralı beach and evening Chimaera combination is a dedicated day trip — 70–95 km each way. Tour operators do not consistently run packages to Çıralı from these zones. Private transfer with an extended waiting time that covers the afternoon beach and the evening flames is the format that makes the full Çıralı experience available to guests outside the immediate Kemer area.