Kite was selected 21st overall by the Boston Celtics in the 1983 NBA draft. Said Kite about the draft: "That summer the Celtics traded Rick Robey to the Phoenix Suns for Dennis Johnson and a first round pick. What that did was open up a spot for a backup center. Red Auerbach really wanted to pick Roy Hinson from Rutgers. Hinson was a heck of a player who ended up having some knee problems later on, and Roy had really long arms like Kevin McHale. He could reach four or five inches higher than I could, even though he was only 6′-9”. So Red really wanted him and hoped he would last until the Celtics could pick, but Roy was selected by Cleveland. I was the alternative."