Our stay at A'la House was great. We booked a 7-person apartment for 5 people. It was pretty big, had a double and triple bedroom, a common area/kitchen, extra sofas, etc, and fit 5 people very comfortably. It would adequately fit seven people too, I think.
The staff was very helpful and accommodating. The young man at the reception spoke very good English. On our checkout day, we had to leave late in the evening, so they gave us a room at a great discount (as we had to vacate our original apartment). They offered to keep our bags for free, but we wanted to take a shower later, so they gave us a room for the day at a greatly discounted price.
I would recommend this place to anyone looking to stay in Sultanahmet.