I'll answer that question since I'm up this early. To jump the starter, you will need to take a screw driver (or any metal object with an insulated handle) and bridge the little pin/stud on the back of the starter with the pin/stud that the power wire from the battery connects to. That will act just like you hitting the starter switch. Of course you'll need to have the ignition in the "ON" position if you want the car to run.
With it wanting to try to spin the starter, then just clicking the solenoid, that sounds like a low battery. Did you have the battery tested, or did you just check the voltage with it sitting? The battery voltage should be around 12.35V at rest and above 10V while cranking. Take it out and take it to Auto Zone and have it load-tested.
