Day 3 : Fushimi Inari Shrine (伏見稲荷大社) and Nara (奈良)

Depending on where you stay so your start station might be different , also need to see if you got any Travel Pass with you as there are many different types in Japan.

This plan is 1) Stay in Shin-Osaka , 2 ) Inari + Nara , these are usually combine in 1 day if you move out from Kyoto

From Kyoto to Nara ( Via Inari ) Use JR line

From Osaka ( Namba area ) can use Kintetsu Line

Attached below is also some Nara Bus info , Nara can be explore by walking thru the park BUT if got Seniors along , can consider take buses. Bus pass is 500 yen unlimited for 1 day.

Nara Bus 1 Day Pass

Japan Travel DIY

Japan 2015 ( all infö is up to date as of April 2015 )
Link to a Simple Overview of a typical planned Japan Osaka-> Tokyo Trip

Below is my Itinerary for this Trip in April 2015

This is just a guide , depending on your interest is sightseeing , Shopping , Sakura Viewing , Etc.
For Cherry Blossom ( Sakura ) Guide , below is a very good link with reports on different location.
Sakura Forecast with OnSite reports

Forecast of Sakura
Forecast of Blooming

Super useful site for checking trains ride in Japan
Hyperdia

Last but not least a site i used very often
Especially the Street View and Route option for walking around
Google Maps
P/s : without knowing Name/Address of Shops, I am able to based on memory find all these out using Google Map and find those info through the Street View function. really useful