Welcome to Kyoto.
1.From Kyoto Station to Kinkakuji Temple
Get on the subway(Karasma-line).
Transfer to the bus at Kitaoji station.
Get off at Kinkakuji-michi station.
(about 30min)
OR
Get on JR Sagano line.
Transfer to the bus at Enmachi station.
Get off at Kinkakuji-michi station.
(about 30min)
OR
Get on the No.101 bus at Kyoto station.
And get off at Kinkakuji-michi station.
(about 40min)(This is the easiest way.)
2.From Kinkakuji Temple to Ginkakuji Temple
Get on the No.204 bus at Kinkakuji-michi station.
Get off at Ginkakuji-michi station.
(about 40min)
3. From Ginkakuji Temple to Kiyomizu-dera Temple
Get on the No.100 bus at Ginkakuji-michi station.
Get off at Kiyomizu-michi station.
(about 30min)
4. From Gion to Kyoto Station
Take a taxi!
OR
Walk to Shijo station (subway Karasuma line).(about 15min)
And get on the subway to Kyoto station.
When you walk to Shijo station, you can also go to Nishiki ichiba.
http://www.kyotoguide.com/ver2/thismonth/nishiki-ichiba.htmlYou can buy one-day tickets at Kyoto station.
If you go by subway and bus, buy 京都観光一日乗車券 for 1,200 yen.
If you take the bus only, buy 市バス・京都バス一日乗車券カード for 500 yen.
Summer in Kyoto is really hot and humid and the buses are always delayed.
So I guess it is the best way to take a taxi for all itinerary.
You can enjoy private taxi tour with English speaking driver.
The driver also guides you for extra charge.
http://www.kyoto-doitaxi.com/https://shuttle.mk-group.co.jp/limotrip/
(I cannnot find English page on the bellow site, but they say English / Korean / French / Spanish speaking guide is available.)
Have a nice trip!