East Hanover Nj Apartments For Rent . View houses for rent in east hanover, nj. Compare prices, choose amenities, view photos and find your ideal rental with apartment finder. 8 Claire Ct, East Hanover, NJ 07936 Trulia from www.trulia.com 740 apartments rental listings are currently available. Studio apartments average $2,025 and range from $1,400 to $2,155. Looking for apartments for rent in east hanover, nj?