Using a map and a subway map, thanks to all the suggestions I got on this forum and the many ideas reading other's questions, our trip is almost planned.
We will spend 5 nights in NYC, we'll stay in Manhattan, on the 8th avenue at 48 St and we'll buy the 7 days Metrocard. This is a sketchy itinerary, organized by half days. We are more interested in visiting neighborhoods than museums. It will be the first time in NYC for our 12yo daughter.
I planned (more or less) lunch places, but I still have to decide dinner places, maybe we could just decide on the spot: I don't know yet if I will feel comfortable walking at night and taking the subway at night with my daughter.... we may just end having dinner always in close proximity of our hotel.
Thanks for any suggestion you can give me. I tried to balance walks in neighborhoods and museums. Little Italy and Chinatown at the moment are out of my itinerary. Maybe walking a little less and taking some more subway I could add them as well?
First day: land at JFK at 1 pm
Reach hotel, walk through Times Square, maybe Columbus Circus (a glance at Central Park) dinner at Don Antonio
Second day (thursday):
Subway to Greenwich, then to Chelsea Market for lunch, Highline walk.
MOMA (open until 8 pm on thursday), TOTR at sunset/night
Late dinner (or dinner after MONA before TOTR? where?)
Third day (friday):
Liberty Island with pedestal reserved for 9 am. Back to Battery park at approx 12.
Walk to Pearl St, lunch at Fraunces Tavern, walk to Charging Bull, Wall St, Federal Hall, World Trade Center, City Hall. Back to Times Square area.
Fourth day (saturday):
Go up to Guggenheim (just architecture) by subway, walk down to Whitney museum, visit Whitney, have lunch at Whitney or maybe at the Plaza Todd English Food Hall.
In the afternoon subway to Union Square, Flatiron Building, walk to NY Public Library, Grand Central Terminal, walk north on 5th avenue.
Fifth day (sunday):
Central park west, AMNH (only in the morning). Lunch at the museum, in the afternoon head to Brooklyn, DUMBO, walk through the bridge at sunset. Dinner?
Last day (morning)
ESB right at the opening. Window shopping in 5th avenue (Tiffany, Fao Swartz etc)
lunch at Shake Shack in Madison Square park.
Take taxi to La Guardia and leave