Herro averaged 14 points and 4.5 rebounds during his lone season with the Wildcats.
Washington, 20, averaged 15.2 points and 7.6 rebounds in 35 games (33 starts) during his second season with the Wildcats.
Gilgeous-Alexander averaged 14.4 points and 5.1 assists per game on a Wildcats team that registered a 26-11 record last season.
New York holds the No. 9 overall pick after finishing last season with a 29-53 record.
Kentucky will have PJ Washington for another season, but Wenyen Gabriel has opted to remain in the NBA Draft.
Travis averaged 19.5 points and 8.7 rebounds per game for a Stanford team that went 19-16 last season.
Walker, a native of Lake Wales, Fla., made five tackles in 12 games as a sophomore in 2017.
Killeya-Jones is a former 5-star recruit who played a limited role for Kentucky this past season.
Tennessee and Alabama were the richest of the rich, topping the $100 million mark in gross revenues for the fiscal year 2016-17.