It's easy to spot this excellent place: look for the large 'Tea Coffee' sign in English on the awning. Inside it's a well-appointed place with white-gloved waiters rushing dishes from a pictorial menu to the well-heeled guests seated in gold and velvet chairs. As well as Uyghur dishes, you can enjoy pizza (of a sort) and even a cappuccino.
To find it, turn left out of the bus station.