During the weekend, you can park in the lot on the corner of North Magee Street and Sebonac Road.  Spectacular view, over Cow Neck, of the Peconic Bay and Robins Island.

Directions: Montauk Hwy. to light at N. Magee St. (east of Southampton College), Travel north ¼ mile to parking lot on corner of N. Magee and Sebonac Rd. at Tuckahoe School in Southampton.
From school parking lot, (off-hours / weekends) across Sebonac Road There is a network of unblazed trails that will someday be part of the Paumanok Path. This is a nice place to wander around and explore. A significant feature of this parcel of land is that the hiker will encounter a large variety of birds.  There is a break in the Paumanok Path here.