You can't go to Turkey without visiting at least a few carpet shops. It is "part of the experience" ! :-)
There must be thousands of carpet factories in Turkey, most associated with a sales room.
You are offered tea, cold drinks, raki, etc. and shown how carpets are made.
Then the saleman's assistants start throwing carpets out on the floor till they are piled dozens deep.
Choosing one should be easy, but from the plethora offered even in one shop, it can be difficult.
Having your measurements and some color samples helps. Here are just a few from one small shop.