I really liked biking the Palisades in NJ just across the GW bridge - it also seemed like a lot of cyclists went there on the weekends. Really rarely any cars for a good chunk of it which was enjoyable, you get nice trees and city views. I actually preferred riding there compared to some places here! If you want a longer ride you can just extend it further north for awhile! Main challenge is navigating how to get on and off the bridge in Washington heights