Getting to the port was a nightmare...took 45 minutes in a cab from our hotel (the Aloft) and we could have walked there in about 15 minutes.
Once at the port there is a Haven entrance for the terminal. Drop you bags there, go through the security dedicated for Haven guests, wait in the Haven marked off area (if they haven't already started boarding Haven guests) where they have coffee, juice, water, breakfast pastries, etc.
We arrived at 10:00 a.m. and were in Posh having our first cocktail by 11:00.