Moore was born in Dublin, Ireland. He achieved celebrity status as Ireland's first contestant in the Eurovision Song Contest in 1965 and attracted huge crowds with The Capitol Showband in the State's many ballrooms. Moore was at the height of his success, when he won the National Song Contest to represent Ireland in the Eurovision Song Contest 1965, in Naples, singing Walking the Streets in the Rain. The song reached number one on the Irish Singles Chart, but failed to chart in the UK.