Your tool's amp rating decides the plug.
Yes, it matters—use the plug that matches the tool’s amp draw. NEMA 5-15 is the standard three-prong household plug, good for up to 15 amps. L5-20 is a twist-lock plug for 20-amp circuits, designed to stay connected under vibration.
If your tool draws more than 15 amps (check the nameplate), you need an L5-20 receptacle and a 20-amp breaker. The locking mechanism also prevents the plug from getting yanked out mid-cut, which is nice when you’re running a big table saw or a high-C