Also, there could be air in the lines, and it may take several minutes
before you would see water coming into a zone. Be sure that you have given
it enough time.
The suggestion to look for a valve near the point where the irrigation
system ties into the main water near the front street is a good one.
The next thing that I would want to verify is to see if you are getting 24
volts to the zone valves. Check that with a voltmeter, at the point where
2 wires are connected to a zone valve.
Next, if you know how to **manually** turn on a zone valve, I would turn
one of them on to see if you have water available in the system.
Also, starting with the first zone, I would run it for 15-20 minutes, and
then walk around in that zone to see if you see water spurting out of the
ground anywhere (look closely througout the zone) , which would indicate a
leak, and would reduce the pressure so much that the sprinklers would not
rise out of the ground.
Try these things and report back.