Which system? Was there meant to be a link there?
I would consider building a small working model first while you learn, then look at hooking it up to the real system.
I’m thinking stuff like safety issues – an auto-shutoff if something gets trapped in the gate! Weather sealing, and the mechanical systems breaking down.
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Any arduino kit would be good. For a transmitter you might look at the IR remotes sparkfun sells.
Check out this project. It seems they’re more focused on control of a security camera, but you could look at the way they control the camera with servos, pretend the servos are controlling the gates instead, and use that to work out your door-keychain logic. code.google.com/p/ugate/
Granted, you won’t be able to control an actual gate motor the same way (the motors will be way too big), but once you have everything else worked out, you can worry about controlling big gate motors.