How do I wire this 3 way switch?
I would call that a single pole, double throw (SPDT) center-off toggle switch.  Electrically, it looks like:







simulate this circuit &ndash; Schematic created using CircuitLab

To confuse newcomers, when the handle is to the left, the center terminal is connected to the right terminal, and when the handle is to the right, the center terminal is connected to the left terminal.  

With the handle in the center position, there is no connection between any terminals.

suggested connection:







simulate this circuit