Great site to experience the Finger Lakes
One of my favorite parks in the area, this one is on the largest of the Finger Lakes, Cayuga. Visit in the fall for unrivaled scenery (better than New England in my opinion!). Great area for biking, kayaking, swimming, hiking, fishing, plus winery tours. Close to Ithaca, a wonderful "hippie" college town.
Nice State Park campground, clean & good facilities. Mostly tent/camper camping, also cabins (I've only tent camped). Nice large sites and while not super private it is serene (as long as you're not too close to the playground or highway). Shady, usually a bit of a breeze. Accessible sites are really very accessible.