To start learning Dean Martin - Sway chords, delve into these chords sequence to get the song's feel: Bb, Dm, A, Dm, Bb, A, D, A, Eb, Dm, A and Bb. Ease into the song by practicing at 59 BPM before reaching the track's full tempo of 119 BPM. Fine-tune the capo based on your vocal range, ensuring it complements the key of Eb Major.