Apartments is a super cool and comfortable, everyday cleaning service. Despite of the most craziest location of Istanbul hearest cafes are great.
If you are coming to Fatih/Sultanahmet for purpose you must be know what you're doing. I wasn't. So, I was struggling at first with crazy traffic and busy streets, but for the next day it was more or less ok.
If really need to stay in Fatih than Mehmet's is probably the best choice on value for money.