On draft day, Phillips made good on his promise not to draft Taylor and the Saints instead selected Heisman Trophy-winning halfback George Rogers with the first pick, leaving the Giants with the decision of whether to select Taylor. To the raucous approval of the crowd in attendance at the draft (which was held in New York City), the Giants selected him. Privately, Taylor was hesitant about playing for New York as he had hoped to be drafted by the Dallas Cowboys, and was unimpressed with a tour of Giants Stadium he was taken on, after the draft. Publicly, however, he expressed excitement about the opportunity to play in the city. Taylor changed his stance after he was drafted as Harry Carson made a point to reach out to him, and Taylor said he "talked to some players and coaches" and "got things straightened out." One of the factors that the Giants said they considered in selecting Taylor was his solid reputation. "He was the cleanest player in the draft. By that I mean there was no rap on him", said head coach Ray Perkins. "Great potential as a linebacker, a fine young man, free of injuries." Taylor chose to wear number 56 because he was a fan of Cowboys linebacker Thomas Henderson. As it would turn out, Taylor would have the longer and more successful career while Rogers, although successful in his own right with several 1,000-yard rushing seasons and two Pro Bowl selections, was injury-prone and forced to retire following the 1987 season with the Washington Redskins.