"Ah my friend, you are English! Which city are you from? You support Manchester United as well? Let me show you the sites around here.....my brother has a carpet shop"
You must become immune to the constant carpet sellers. My personal record was stopping at a pedestrian crossing and someone tried to flog me a carpet.
Less manic than Topkapi Palace is the national museum, set in tranquil gardens - entrance is to left of main palace drag. A sea of peace, and no capet sellers, and very good value snacks.
The remains of Justinian's palace mosaics are on view in a little display between Blue Mosque and Ayiasofia - blows your mind to think this is just a fraction of what existed.
Less good value, the restaurants on the bridge, and the big red tour bus (?citybus?)- latter is very unreliable and will only run if a certain number of people show up.
It is a fantastic city and I think you will greatly enjoy the Sultanahmet area round the Blue Mosque. You might even buy carpet.....