We are not sure how many days you will be staying in NYC. But being in Downteown Brooklyn/Brooklyn Heights will afford you to close proximity to BCT. About 20 minutes in distance. From the above locations. The streets are straight traveling to BCT but can encounter travel depending the days you will be heading to the Terminal.
There are hotels and boutique hotels in the Atlantic Avenue area and other areas in vicinity.
Brooklyn is very interesting in that area but not as engrossed in tourist attractions but still interesting in content. Dumbo (Brooklyn Bridge Area) Park Area, Brooklyn Bridge Walkway, East River to Lower Manhattan. Last minute shopping on Fulton Street if needed. Also many different restaurants to along Court Street and Smith Street also Montague Street. Oh BTW, the Brooklyn Heights Esplanade viewing the East River, Bklyn Bridge and Lower Manhattan.