If you're looking to see some of the most historic sights, stay here. The location is great, just a few minutes walk to the Blue Mosque, Hagia Sophia, museums, and not too far from the Grand Bazaar, among other things.
This is a proper hotel, so it has the perks of daily cleaning, complementary breakfast, etc.
The staff was very accommodating, and even offered me a room in another of their establishments where it would be quieter (there was some construction going on at the other place).
It's not fancy -- very simple, small room; but for the low cost and decent quality, this place is hard to beat. Highly recommended.