There are several deals for sightseeing in Kyoto. I would like to show you the deals for the tourist who stays in Kyoto and want to visit the places there. I believe you will find most suitable for your trip.
By the way, if you intend to have a day trip to Kyoto from other cities, such as day trip to Kyoto from Osaka, from Kobe, Kansai thru pass and other deals are available. Please find the detailed information about the deal that covers Kyoto and other cities in the link below:
As you probably have already known, train system in Japan is very complicated. Especially in urban area, there are lots of railways. You might not understand the difference between Japan Railways (JR), subways and private railways.
Especially in Kansai area, such as Osaka, Kyoto, Kobe, Nara, Himeji and Wakayama, many trains runs among these cities. You may be overwhelmed. But it is very important to understand the train system. You will make a trip much smoothly and save your trip time.