When Central Park turns too touristy, Upper East Siders know exactly where to go for a quiet slice of serenity and greenery in the city. Carl Schurz Park on East End Avenue provides such an escape. A charming prewar one-bedroom apartment at 509 East 88th Street — listed by CORE’s Limor Nesher — is just steps from the park and its highest-profile neighbor, Gracie Mansion. Consider the surroundings your own island within an island. And please, try to keep it a secret.