From 2008 through 2014, Baird participated in Cal-South Olympic Development Program or ODP and various age group US soccer Youth National Teams.
In August 2011, Baird was invited and attended the United States men's national under-17 soccer team Residency Program, hosted at the IMG Academy in Bradenton, Florida, from 2011 to 2013.
In his freshman year with the Cardinal, Baird appeared in all 19 matches, making 14 starts in the midfield and helped lead Stanford to its first Pac-12 men's soccer championship[6] since 2001.
[11] Baird was named to the NCAA College Cup All-Tournament team[11] and again named to second team All-Pac-12[12] In his junior year, Baird appeared in all 23 matches, making 22 starts in the midfield and at forward, helping to lead Stanford to win its third consecutive Pac-12 men's soccer championship[13] and defend its NCAA Division I Men's Soccer Championship.
[23] He made his first MLS start on April 7 and picked up his first career assist in the match, helping Real Salt Lake defeat Vancouver Whitecaps FC 2–1.
[24] Baird ended the MLS regular season with 31 appearances, eight goals, and five assists, helping RSL finish sixth in the Western Conference and qualify for the playoffs.
He made 1 substitute over the 2 legs of the conference semifinals, as Real Salt Lake lost 5–3 to Sporting Kansas City on aggregate.
[27] He scored his first goal of the season on May 14, helping Real Salt Lake to a 3–2 win over Rocky Mountain Cup rivals Colorado Rapids.
[35] On January 11, 2021, Baird was traded to Los Angeles FC in exchange for $500,000 General Allocation Money, a 2021 international roster spot, and future considerations.
[29] On July 30, 2021, after just seven months with Los Angeles FC, Baird was traded to the Houston Dynamo for $750,000 in allocation money and an international slot.
[37][41] On May 25, Baird scored his first goal of the season, and of his Dynamo career, in a 2–1 loss to Sporting Kansas City in an Open Cup match.
On December 20, 2018, Baird was invited to participate[46] in head coach Gregg Berhalter's first United States senior men's national soccer team camp from January 6, 2019, to February 2, 2019, in Chula Vista, CA.