There are no horseback riding stables or horse rentals in or near Pednernales Falls State Park, so you have to provide your own horse. There are 10 miles of trail accessible to equestrians. TPWD has a short introduction to the
equestrian facilities at Pedernales Falls SP you might find useful. Note: equestrian access is day use only, meaning there are no facilities provided to hitch your horse(s) overnight within the park.
For future reference, the Texas Parks & Wildlife Department maintains an
at-a-glance listing of parks with equestrian facilities such as equestrian-accessible trails, stables or horse rentals.