Swept Me Away

I know a couple who had the Avett Brothers' song "Swept Me Away" as their first dance. I think it is a novel idea. What are the criteria for deciding what your first dance song should be?

It seems to me that it should be one that both of you like, but also one that is not just popular, but endearing and long lasting. Not that it has to be "timeless," but it ought to be one that you will always have around and will, say, teach to your children:



Your thoughts?