Sleep on the hill or below it. Do not change hotels to be “closer” to a ticket you already hold.
The Alhambra complex
Palaces, fortress, and Generalife. One ticket, one day. That is the geography of a first visit.
Albaicín
Cobbles, viewpoints, and terrace dinners. The neighbourhood you came for after the monument.
Sacromonte
Caves, flamenco, and a further walk. Overnight in a cave house only if that is the stay you want — luggage on cobbles is real.
Centro
Cathedral, shops, easier taxis. A practical base if you dislike hills with a suitcase.