no, there are many taxi stands. There arw two parking lots near by. Best bet is try public transportation or park uptown then take the train down
I was there late on a Monday night and literally parked right across the street, no problem.
There are some. Also parking garages nearby as well.
Yes, but depending when you go, may be impossible to get a spot - especially during the week. Weekends are better.
Yes a few are nearby and there is also a garage at One Battery Park plaza albeit it's not cheap.
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