How do I get super glue off my fingers?

Don’t panic! Apply a solvent like acetone (nail polish remover), oil (vegetable or olive) to loosen the bond. Use shear forces if fingers are glued together, and do not pull apart.
Once the glue is softened gently peel the glue away.

If you spill superglue on a surface, you can use Vibra-Tite 642 CA remover.