There are many wireless remote modules like this out there. The price is around US$2.50 and available many places on the internet.

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This one will provide a open collector pull to ground to trigger your shutter when the Snapshot Sniper detects motion. The transmitter will run a long time on a couple AA batteries. The receiver draws a bit more current since it is on all the time, so you will need a few more batteries depending on how long you want it to run.