I am having a similar issue. Haven't played with Move Controllers for a few years. Lights were blinking steadily on the charging dock. But when it came time to connect to the PS3, the light at the bottom blinks rapidly, but stops after a few seconds and nothing. Tried resetting. Still nothing.
Bought new batteries, installed them, charged them, same issue. Light will come on blinking rapidly for a few seconds on the bottom of the controller and nothing. Tried resetting, still nothing.
PS3 Eye blue light is on. Set at wide angle.
Any advice? It's so frustrating!