This property is the bomb! Yes it is pricey, but you are right smack in the heart of the Plaka, walking distance from literally everything: the Acropolis, the Agora, all the restaurants, the good shopping (i.e. not all the shlocky touristy stuff that lines the streets around the Acropolis), rent a car companies if you want to drive to Delphi or Sounion, the hip section of Psyri, and more. Our family of 5 - with 3 grown teenagers - loved it. They could go out and get what they wanted when the wanted. Despite being smack in the middle of it, we all slept easily; only one of the rooms abutted the street (only pedestrians) and with the a/c on we never heard a thing. And we felt totally safe.
Just need to add that all the stories you may have heard about Athens being a dirty city that you shouldn’t visit need to be reexamined and subject to peer review of some sort. I’m sure that may exist and certainly 30 years ago that may have been the case, but we saw none of it during our 4 days. What we did see was a friendly, energetic city with a ton of living history.