High Quality Content by WIKIPEDIA articles! The Westchester Handicap is a Thoroughbred horse race at Belmont Park on Long Island, New York run annually in early May. Open to horses age three and older, it is contested at a distance of one mile on dirt. It is a Grade III race with a purse of $150,000. From 1959 to 1971, the race was open to horses age four years old and up.