Buckley Square Senior Apartments Buckley Square Senior Apartments offers 1 and 2 bedroom apartments for rent in North Syracuse NY close to Liverpool NY. Amenities include, fully equipped kitchen with dishwasher and microwave, walk in showers, fully handicapped accessible, AC, patio or balcony,emergency pull cord system and controlled access. Laundry on site. Fitness center, beauty salon/barber, community room. Planned activities and trips. Near Destiny USA,Wegmans, Post Office,Onondaga Lake Park and NY State Thruway. thumbnail text