Another notable song off the album was "Nothin' on Me", which peaked at number 24 on Billboard's Adult Top 40 chart. The song was also used on Suddenly Susan as its theme song from 1997 to 2000. Colvin appeared on the show in the second season episode Ready ... aim ... Fong!. She performed the song on the show.
Grammy success came to Colvin two years after the release of A Few Small Repairs. In the 1997 Grammy Awards, she was nominated for Best Female Pop Vocal Performance award for "Get Out of This House" and Best Pop Album for A Few Small Repairs. At the next year's Grammy Awards, Colvin was nominated for Song of the Year and Record of the Year for "Sunny Came Home". She won both awards (sharing Song of the Year with Leventhal). As Colvin was about to begin her speech after winning Song of the Year, rapper Ol' Dirty Bastard stormed the stage protesting his loss of an award that same night, saying, "...I don't know how you all see it, but when it comes to the children, Wu-Tang is for the children..." leading him to be escorted off stage. Colvin then began her speech, remarking, "I'm confused now!"