Attach the first compression fitting to the pipe upstream (the side that brings water from the street). Hand-tighten it, then give it a firm quarter-turn with the wrench—no more, or you’ll crack the brass.
Slide the meter into the fitting, ensuring the arrow on the meter body points toward your house. This is crucial: water flows in one direction, and your meter is a polite guide.
Attach the second fitting downstream, tighten it, and then install the shut-off valve just after the meter. Now you have a control panel for your whole home. Fun fact: The first meters used a simple spinning disk to measure flow. Yours is basically a high-tech pinwheel.