Breakers are good, but when I turn the thermostat to cool, there is a click coming from the outside unit and the fan will not turn on. What else can I check?

I would take a look at the capacitor (http://www.busytrade.com/upload/images/2008-05/121055947244932.jpg).
Here is a link (https://www.askmehelpdesk.com/heating-air-conditioning/checking-air-conditioner-capacitor-222720.html) to a similar problem.

Best of luck,
WallyH