It seems Anthony's Nose is a well known spot for hiking. Here are some directions to get there. Parking may be an issue if we have a large gathering, but there are places to park in the area.
"From NYC take the palisades interstate parkway north for approximately 40 miles until its end at the Bear [...]

 Hi Mushroomers,
We have an impromptu walk scheduled for this Sunday, November 6th at Noon Near Bear Mountain. The spot is called Anthony's Nose. It's an easy walk that is great for kids to come along. About 2.5 miles long and 2-3 hours in time.
I'll be posting specific directions later this evening.