We took our tween DC there in Feb 2023, also for the first time. We stayed near Central Park South.
What we did:
Top of the Rock at sunset (need to pre-book). Great success.
Subway (for the experience) from Central Park to South Ferry, then the free Staten Island ferry round trip - wonderful views of the Statue of Lib. (We were advised not to visit the actual statue as it’s expensive and a little underwhelming and takes far too long).
Then we took a ferry to Brooklyn for lunch
Then walked back to NYC over the Brooklyn Bridge at sunset. This was utterly fab - my favourite part of the trip - and well worth doing.
We spent much more time than I expected just wandering around Central Park. Lots to see, all the iconic NYC views. DC skated in the open air ice rink.
We went to meet a friend off the train at Grand Central Station - the station is amazing, a destination in itself if you are wandering around 5th Ave and can’t decide what to do next.
Have breakfast in a diner. Any diner (I’ve heard the Ellen one is overrated). Massive pancake breakfasts - go hungry.
I wanted to visit the Intrepid Sea, Air and Space museum but we didn’t have time. From what I’ve heard, your 14 year old DS would probably love it.
Enjoy! NYC is brilliant for this age group.