Eigsti released his first album Tay's Groove at age 14. It featured Seward McCain on bass and Dan Brubeck on drums. Eigsti's second album, Live At Filoli, with John Shifflett on bass and Jason Lewis on drums, was recorded at a concert at Filoli Gardens on September 16, 2000. The trio played this concert as a last minute replacement for a Marian McPartland show. His third album, Taylor's Dream, was released in 2001 on DIW Records. Eigsti's first nationally released album was Resonance, recorded in 2003 and released on Bop City Records. It was the trio's third album together and peaked at number five in national jazz radio airplay.
