One of many extraordinary songs by the great poet-songwriter Leonard Cohen. Like so many of his songs, it has been interpreted in myriad ways by other artists. (To paraphrase my brother: Anytime I hear a new amazing song on the radio (killer lyrics, etc.), it turns out to be by Leonard Cohen.)
It was real birds on real wires that started this whole thing. They don't seem willing to embed, but you can find them and their music (sort of) here.