We found ourselves walking past the front door of Haci Baba one lunchtime so ate there then. Perhaps the evening experience would have been better but we thought the service quite perfunctory, and though the food we had was very nice we didn't really feel it was a place to hang around trying more dishes.
Our best meal was at the
Matbah Ottoman Palace Restaurant. Every single thing we ate or drank there was divine, the service was very friendly (we were early so there was only us and one other couple there), and the prices were very reasonable.