There's bound to be a public restroom

There's bound/certain/sure to be somewhere to eat.

bound

 adjective/baʊnd/baʊnd/SEE ALSO bind [not before noun]Idiomsbound to do/be something certain or likely to happen, or to do or be something 確かに...するはずである

There's bound to be an ice cream stand.

There're certain to be some tourist spot.

There's sure to be a public road leading to the mountain.

a road leading to..   ...に向かう道

Do you think there'll be a popular ramen shop?