People do not have loads of luggage on two nighters and therefore many self-disembark very early unassisted. This means that the scheduled disembarkation groups system usually runs ahead of time due to the remaining passengers being fewer. You request a disembarkation time during the cruise and may request an earlier time if you feel your allocation will not fit in with your onward travel arrangements. Do this by attending Reception and asking for an earlier time. I think you will almost certainly be through customs by 9.30am and will likely be there earlier. Have a West Quay cars telephone number loaded in you phone and general taxis are on the rank most times.
Ships cruised on
RMS Queen Elizabeth, SS France, Oronsay, Oceana, Vision of the Seas, Caribbean Princess, Aurora,
Queen Mary 2, Star Flyer, Star Clipper, Grand Princess, Queen Elizabeth, Azura, Ruby Princess, Ventura, Diamond Princess, Britannia, Emerald Princess, Navigator of the Seas