Istanbul, Cappadocia and Izmir (Ephesus) is not unreasonable in ten days.

You'll need to fly between the three destinations as distances are too far for ground transportation, given your time limitations.

Pegasus Air (as well as other low cost carriers) fly between these three destinations.....although Kayseri to Izmir is not a daily flight.

Google flights covers Turkey air transportation pretty well for planning purposes.