Although it’s yet to be seen if the new Grimaldi’s location in Manhattan lives up to it’s older brother across the East River, one thing is promising… it looks like they’ll be delivering according to New York Magazine. Although this is presumably only available to downtown residents (right now all we know is that they’ll be making free deliveries to residents at 200 Water Street), it may turn out to be a convenient way to avoid lines that will certainly be forming in the near future.
Personally, even without visiting the new place yet, I suggest sticking to your roots and heading over the Brooklyn Bridge for what will be a more authentic experience.