Arashiyama and Sagano
The easiest way is to walk to Kawaramachi Terminal of the Hankyu Railway’s Kyoto Line. Take the Hankyu from there Katsura Station, where you can transfer to Hankyu’s Arashiyama Line to its Arashiyama Terminal. Then, walk to the Togetsukyo Bridge and to the entrance to the Iwatayama Monkey Park (don’t walk over the bridge). After the Monkey park, walk over the bridge, visit Tenryu-ji temple and its nice garden, exit from its north back exit, and walk leftward for a few min. and you will be in the Bamboo Grove.
I would suggest giving yourself a day to check out Arashiyama. The temple, bamboo grove and monkey park are a walkable distance apart and with English signage you can get around with ease. After you have your day and afternoon at these locations walk over to the touristy street with souvenir shops and eateries. I grabbed an ice cream and then walked back to the train station for my trek back to Osaka.
9 a.m. Tenruyi Temple 830-5
10 a.m. Bamboo Grove
Monkey Park Iwatayama 9-4 550y