The people a few houses away appears to have a dog that is part Pit Bull. I'm afraid it will get loose and attack someone. Does Highland Heights have a law against this breed, and, if so, what recourse do I have in this situation?

The City does not have a law against pit bull dogs.  It does have an ordinance #01-98 pertaining to a person owning or having or having the care of a vicious dog.  The ordinance also  addresses the definition of a vicious dog   Please submit your name and address  and I will mail you a copy of this ordinance o stop by the office and review the ordinance.