This is a very authentic machiya experience: tatami floors, futons rolled out on the floor, a deep soaking wooden tub, a historic building (it used to be a sake brewery). The machiya is in outstanding shape--cleanliness, modern amenities (wifi, AC, Japanese bidet).
(Note that part of the authenticity means no western beds, a steep traditional staircase up to the second floor, and the primary seating is also on tatami mats, so for those with mobility disabilities, it might not be the best choice.)
It is located in Gion, about 5 minutes to the Shijo Dori shopping street, and steps away from some of Kyoto's best restaurants. A convenience store is also less than 100m away. Maps and brochures about Kyoto are also available and free to take.
The staff (who appear to be a mother and daughter team, and who live nearby) speak good English and are extremely friendly and also eager to help. They provide daily cleaning and trash removal, which is nice. They also leave lovely little treats for guests each evening. Breakfast is optional ($$), but we didn't do it this trip, so all I can say is that it is available.
We've stayed in Kyoto machiyas four times now, in a different machiya each time, and we've been delighted with all of them. But this one stands out for its exquisite historical beauty and modern conveniences, helpful on-site staff, and excellent location.