The combo most first-time Turkey travelers actually want. Book the balloon flight before anything else — it sells out.
Five days is the sweet spot: 2 nights Istanbul for the icons, 2 nights Cappadocia for the balloon and cave hotels, 1 flex night that you use in whichever side hooks you. Flights between are 80 min and $60–120. Do it in this order — Cappadocia first if the balloon is non-negotiable (gives you a second shot if weather cancels).
Where to stay tonight: Sultanahmet — you want to wake up next to Hagia Sophia tomorrow
Where to stay tonight: Sultanahmet (same hotel)
Where to stay tonight: Göreme (balloon central) or Uçhisar (quieter, higher)
Where to stay tonight: Göreme / Uçhisar (same cave hotel)
Where to stay tonight: Back to Istanbul or direct home
Activate these from home — cheaper and simpler than sorting them at the airport.