Antigua has several good anchorages.
In April 2002 we spent several days in Antigua, during classic yacht week. Falmouth Harbour is good, with a good dinghy dock, restaurants, groceries, laundry and internet. It is within walking distance of English Harbor and Nelson's Dockyard, which is interesting. We walked up the hill to Shirley Heights, but I suggest taking a taxi or renting a car to tour the island. On Sundays there was a party in the evening at Shirley Heights Lookout bar and restaurant. In January 2003 as we were headed north we stopped in Five Islands Harbour on the west side and really liked it because there were no facilities, no noisy music, cars, dogs; just us and a couple of other boats in a huge bay. We don't recommend St. John's Harbour because of the poor holding or Deep Bay because it was small and crowded. We also went to Barbuda, but we were in a hurry so only stayed one night. It is very, very flat (like the Bahamas) so you don't see it until you are within a few miles. We were the only sailboat in sight in the area on the south side where we anchored. Weather could be an issue because the protection is not great. We had a great sail from Antigua to Barbuda. Enjoy you trip.