Take the express train down to Grand Central and explore the city! They have things like the New York version of the Art Institute and the Cubs
Endless trails and picnic spots and Kykuit, the Rockefeller house museum
Will take a 45 minute cab or drive to see this 500-acre outdoor museum in the Hudson Valley
Great food, drinks and views!
Great hike! Take an uber or the train from Tarrytown to get up there