Complex sentence: After three seasons, Nike acquired the title sponsorship and it became the Nike Tour, which held for seven seasons (1993-99), then became the Buy.com Tour for three seasons (2000-02).
Split into simpler sentences: After three seasons, Nike acquired the title sponsorship and the tour's name became the Nike Tour, which held for seven seasons (1993-99). The name was changed again to the Buy.com Tour for three seasons (2000-02).