There are several Chet Baker albums with the title, Chet Baker Sings, but this one, recorded for Pacific Jazz in 1954 and 1956, is the original and, arguably, the best.
The album features Chets indelible vocals and sterling trumpet playing with two different quartet line-ups both featuring pianist Russ Freeman on a set of classic standards that he made his own including My Funny Valentine, That Old Feeling, and I Fall In Love Too Easily.