Their is a place near Kyoto station named the 'Whitehouse'.
Kyoto Eki-mae White House in Kyoto - Kyoto Hostels
they also have a smaller place in a backstreet leading to the station..
ryokan kyoto inexpensive ryokan kyoto hotel,KYOTO WHITE HOTEL
My friend from Thailand stayed their when she visited me..
You can't go wrong.. My friend stayed at the smaller place, by memory, around 2'000 Yen per night dependant on the room you choose..
Of course, you cannot beat the convenience factor in this location for a hop to the Shinkansen or a basket full of Nato