Don’t do Lombardi’s pizza go next door to Juliana’s much better and better service – go early as queues are long after 6.
Walk Manhatten bridge to look at Brookline bridge at dusk and watch the lights change (after Juliana’s)
There’s a river taxi from Battery Park, get home n and off an any stop all day, good value. There’s also a good a good deli right at battery park too worth a look.
Pastrami sandwich from Carnegie’s up near Central Park
Hire a bike for Central Park and up and down the Hudson
Highline Park.
Top of the rock to look over Park and at Empire State etc.
Buy a Metro card and load it to use subway. Quickest way around the city.
There’s so much, this is just scratching the surface. Gonna be expensive either way due to exchange rate.