Visited Istanbul during Ramadan and had a wonderful time. The Turkish are friendly and welcoming.
Live like a local in Galata. Doret's flat is very clean and stylish like the photos. The tree view from the lounge room feels breezy and peaceful which is the perfect antidote to the hustle and bustle of Istanbul. The flat is very quiet (I heard the mosque briefly on night 1 and slept through the other nights). Galata is a perfect place to stay - its a 45min walk/ 15 min tram away from the crazy tourist action around Sultanahmet. But...from the rooftop restaurant and cafe around the corner (Anemon Hotel rooftop, right next to Galata Tower) you can see everything - Galata Tower, Hagia Sophia, Blue Mosque. The approach to the flat is a little grungy but don't be put off - it's an oasis inside - and the area has tremendous character. Think cobblestones, narrow streets, doorway cafes and interesting shops, restaurants that open very very late, a little graffiti. It's urban, it's old Europe and I wouldn't stay anywhere else.
Izel, Doret's bro, was the perfect host. We took their airport pick up service and glad we did. We were quite late arriving and there was no issue. Izel greeted us at the flat, had maps and showed us all the basics - atm, tram stop, fav restaurants and suggested some non touristy places to visit incl Pierre Loti. He checked to ensure we could find our way home and assisted with laundry during our stay. Just perfect.
One thing to watch out for - the kebab shop owner around the corner can't count. Know what things cost and count your notes and change - even the small coins. He opens early and closes late and is located at the first intersection on the left. You'll see the kebab skewer and water fridge out front.