What is the difference between the two French verbs 'to know'; savoir and connaître?

Asa whole, the difference between savoir and connaître can be summed up by generalising. Connaître is usually used for more specific things, whereas savoir would be used for wider, more inherent uses and more general situations. But there are nuances. To know people, places, specific values or a specific existence would use connaître. Whereas To know how to do something,  to know of a wider event or to know a certain piece of informaton or fact, would take savoir. For example, notice the nuance between 'il sait chanter', et 'il connaît ce chanson'. Savoir meaning that he knows how to sing (n.b. without the inclusion of 'comment') whilst connaître indicates that he knows a particluar, specific song.