Pet Friendly Apartments for Rent in Somerset, NJ Carriage Run Apartments and Townhouses in Somerset, New Jersey offer spacious 1 & 2 bedroom pet friendly apartments & townhouses.  Here you’ll find 160 units located on 20 acres of park-like grounds.  All units have eat-in Kitchens & formal Dining Rooms. Pool membership is included. Centrally located to Manhattan, Princeton, North Jersey More Apartment Details