We were on the Norwegian Spirit and got in relatively early (8 AM) on a Sunday. We exited the boat and bounced through the port shop area pretty quickly. There were the omni-present tour sellers at the gate. My wife commented they were pretty laid back compared to other ports, but that may have been because it was still early.
We took a taxi ($20 for 4) to the Cricket Club and ate breakfast. The club is situated between Fort Charlotte and West Bay St, with the beach and ocean within view. My son had french toast that looked like the best stuff on earth. My own British Breakfast was awesome. My daughter had eggs and sausage and reported it was very good. The wife ordered a more traditional Bahamian breakfast dish and demolished it. Add in the balcony seating overlooking the cricket field and beach and it was very enjoyable! The servers were friendly, the guests were mostly local, and everything moved on island time. I think the total came out around $45.
We walked from the Crick Club to Ardastra Gardens. It was a little less than 1 KM, mostly downhill. We walked from the back of the club to the corner of the Botanical Gardens, then followed the road down to the zoo. The area was nice enough, no worries there.
The zoo was $54 total for two adults and two kids - and was well worth it. The kids (9 & 11) had a blast. There were plenty of shady spots to sit down and take in the grounds while they chatted up the parrots and played games. The workers there were all friendly and seemed to love the zoo and sharing it with tourists. The zoo took longer than we anticipated, in fact. We had originally planned to walk back up to the fish fry area but our ship was leaving early (3 PM) and everyone wanted to hit the straw market for a souvenir.
We called the same taxi from before and got a ride back over ($20 more). We had a bit more sightseeing coming back with the driver talking about the different neighborhoods and sections of town. The driver directed us to the plaza outside of the straw market for more authentic Bahamian crafts. There was a local dance troop there and the vibe was more relaxed outside the market than inside.
We walked back to the pier and got hit up a couple of times for Cuban cigars and 'free' friendship bracelets. It just took a straightforward no thanks and no one pushed past that.
When we go back I'd like to do the fish fry area, pirate museum (it's closed by noon on Sunday) and Pirate Republic Brewery (really busy when we walked by, and time was running out).
Overall Nassau was a very nice port for the family!