The New York Public Library is your friend.
Science, Industry and Business Library (SIBL) branch at 188 Madison Avenue @ 34th Street has stations where laptops and cellphones can be plugged in. Also, free WiFi. Phone (917) 275-6975. Website.
Hours:
Monday, Friday, Saturday – 11AM-6PM
Tuesday, Wednesday, Thursday 10AM-8PM
Closed Sunday
There’s also a NYPL branch near Liberty Plaza: Battery Park City Library, 175 North End Avenue (at Murray Street). Phone: (212) 790-3499. Website.
Hours:
Monday & Wednesday – 10AM-6PM
Tuesday & Thursday 12PM-8PM
Friday & Saturday – 10AM-5PM
Closed Sunday
And there’s one near City Hall: New Amsterdam Library, 9 Murray Street (between Broadway & Church St.) Phone: (212) 732-8186. Website.
Hours:
Monday & Wednesday – 11AM-7PM
Tuesday & Thursday 10AM-6PM
Friday & Saturday – 10AM-5PM
Closed Sunday