While you can ride Epona, that will require an Amiibo to unlock. In this game, there are quite a few different mounts and horses to pick from more easily. There’s even a bear if you’re bold ...

Ride a cock horse to Banbury Cross To see a fine lady on a white horse With rings on her fingers and bells on her toes She shall have music wherever she goes. Jingle! Jangle! Jingle! Jingle!