I find these ports irritating as you cannot shop without being hounded all the time by shopkeepers. Unfortunately it rained on us and it was very hot. This is the first time I have ever been rained on in the Caribbean or Bahama's. We did not stay out very long as we preferred to be back on the ship at the pool. Choose your excursions early and wisely. Some are not worth the money for the time you get to spend. If you just want to go to the beach you can take a taxi or bus. You do not need to spend gobs of money on an excursion to do this. and you can go at your own pace.
Nassau is better than Freeport as in the way of shopping. You still get people hounding you to go in to their store. The straw market is just the same stuff (junk) with the couple hundred vendors they have. I suggest going over to Atlantis to shop and go to the beach. They shopkeepers don't hound you there. For $8 round trip pp you can go to the public beach there via shuttle taxi and have lunch at the beach side grille. There is shopping and a casino in Atlantis. You do have to pay to use their beach/pool facilities through an excursion. I recommend the public beach. There is more shopping next door at the Marina Plaza.