Welcome to the forums.
Kensico is a little tricky to fish from the shore. The well known starting point for a lot of guys is the area by the Rye Bridge on Route 22. If you can work your way along some of that shoreline if may be worth a shot. The shore spots on the northern end up by where Route 22 meets Route 120 has some openings but I couldn't tell you any exact locations, I'm a boat guy. I see people fish from the rocks up in that north area.
Just remembered.... there is another shore spot on the south eastern part of Kensico called Loudon's Cove off of Route 120. Not sure of the directions but there's a big fence by the parking on rt120.
Best Always,
Vinny