well, Atlantis isnt' my cup of tea, it's too much like disney world there. even though the whole thing is pretty impressive, Orlando is a lot closer!
A week in the Exumas is pretty good. 40 NM from Nassau gets you to Highborne Cay Marina although i prefer to anchor at Normans, just a few miles south. really beautiful anchorage with dozens of beaches and sandbars. there is a restaurant there as well.
another 20 NM south is another must visit, Warderick Wells and the Exumas land and sea Park.
then further south, also about 20/25NM, is Samson Cay and Staniel Cay. both have Marinas but radically different. Samson is very nicely landscape adn detailed, but "cold". Great lagoon with sandbars off the docks and great protection from weather. Staniel on the other hand is more relaxed with a great party atmosphere. Most rustic docks that are exposed to the W and NW. but it's probalby my favorite spot anywhere.
You have many places to visit around staniel and compass... dozens of beaches, sandbars, snorkeling spots, etc... hard to beat.
none of these places have pools... why bother with pools when you have pristine natural water!
there are many many other places to stop at in between, like Hawksbill, Shroud, Bell, etc... just a couple of miles south of staniel is a very nice anchorage off bitter Guana.
further south (past Big Farmers) you have even more great anchorages, with fewer boats and different scenery (higher elevations on the islands which gives it more of a Caribbean feel). it's a little further though and you may want an extra week for that which is why most boats on a week long trip out of Nassau dnot' typically go beyond Staniel.
teh Berrys are nice but just dont' compare. coming out of the north, you may want to stop at Great Harbor Cay (anchor in the cove on the East side weather permitting), spend a day there, then move on to Hoffman / Cay for a day, then go to Paradise Island. and use the extra time in the exumas.
Here is another snapshot, this was taken at Normans on Friday morning:
if you have google earth, check out this KMZ file, it has a sample itinerary for exumas with some pictures in the place marks...
http://www.yachtcharmer.com/assets/exumas.kmz