Simple iPhone motion detect

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I think you have to use Core Motion. The good news is that it is not that hard to use for your problem domain. Start reading the Event Handling Guide especially the section Handling Processed Device-Motion Data. If you are just interested in knowing that a slight motion was made, as you stated, you can omit rotation handling and narrow signal processing on CMDeviceMotion.userAcceleration. This is because every rotation results in accelerometer signals as well.

Create a CMDeviceMotionHandler as described in startDeviceMotionUpdatesToQueue:withHandler:
Your CMDeviceMotionHandler should do something like:

float accelerationThreshold = 0.2; // or whatever is appropriate - play around with different values
CMAcceleration userAcceleration = deviceMotion.userAcceleration;
if (fabs(userAcceleration.x) > accelerationThreshold) 
    || fabs(userAcceleration.y) > accelerationThreshold
    || fabs(userAcceleration.z) > accelerationThreshold) {
    // enter code here
}

Basically that’s it. Bear in mind that every acceleration will have a counterpart. That means, if you apply a force to move (i.e. accelerate) the device to the right, there will be a counterpart for deceleration to stop the motion and let that the device rest at the new position. So your if condition will become true twice for every single motion.

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