My husband and I stayed at the gorgeous Ayra suite for our Honeymoon and highly recommend it if you're headed to Santorini! Staying in Oia allows you to experience the area early morning and late at night after sunset once the crowds have left, which is key to understanding the magic of the place. It's also situated right on the best walking trail in all of Santorini.
The cavelike suite itself was so cool and relaxing that it made sleeping in easy and was hard to leave each day! The pool is a beautiful way to relax and enjoy Oia views away from the crowds and we loved having little visitors in the local cats. We could watch the sunset over Oia from our private rooftop balcony - you know you have a special spot when tourists swing by requesting to pose on your balcony for that perfect Instagram shot :)
Also, the hotel restaurant is fantastic both for the complimentary breakfast and also for dinner - try the moussaka!