A cab ride from JFK to anywhere in Manhattan is now a flat fee of $30 (plus tolls). It is ILLEGAL for a NYC cab to charge extra for luggage - no matter how much you have, if your cabbie actually helps with your bags, you may want to tip extra.
I'm confused though by the reference to the Tappenzee Bridge. That's no way/no how on the way to Manhattan from JFK, do you mean the Triboro? The Tappenzee is over the Hudson River, not the East River.
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I wish I were 1,000 miles away