You talk of a "motion sensor". Do you mean a human presence/absence detector or a velocity measurement system.
If you are looking for humans, the easiest is to buy two ready to go PIR (Passive Infra Red) sensors. These are $10 and up and give a saturating transistor as the output. Harder to use, but more versatile, are the $30 thermopiles from companies like Melexis (which I use). Thermopiles can measure temperature remotely while the PIR style just detect a thermal anomaly and turn on the output transistor.
The thermopile approach requires you to build a reasonably sophisticated high impedance, very low leakage op amp circuit.
Tell me more about what you are trying to do and I can explain further.
HTH
Brian
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