The Kyoto Subway Line consists of the inner city south-north “Karasuma” Line and the east-west “Tozai” Line. The two lines intersect at “Karasuma Oike” Station where it is possible to transfer lines. Refer to the Kyoto City Web for more information.
Karasuma Line: https://www2.city.kyoto.lg.jp/kotsu/webguide/en/tika/tika_route_info.html
Tozai LIne:
Here is a convenient web site to find information on how to reach places around Kyoto and to search for bus and rail routes in the city, including the city bus and subway.
Arukumachi KYOTO Route Planner “Bus and Train Veteran”
http://www.kyoto-magonote.jp/en/transport/kyoto_city/subway/
How To Use The Kyoto City Bus
How to Ride A Bus Guide:
http://www.arukumachikyoto.jp/static.php?page=bus_guide&lang=en