I have an adept with the power. The interpretation can be tricky, as you've found.
First off, there's the relative nature of motion. If the adept is standing still near a parked car, then there's no motion to detect. But if the adept starts walking, can they then sense the car because the car is moving relative to the adept? Based on the fluff, I'm inclined to say yes, but with the caveat that this isn't the Spatial Sense spell. You can't completely map your surroundings simply because you walked by, but it will give you a shot to "feel" some of the nearby features, like the invisible troll waiting for you with a combat axe.
I usually call it out and roll when I specifically want to use the power, but I trust my GM to alert me (or roll on my behalf) when there's an obvious situation where the power applies, like Bear the troll sneaking up on me.
As a GM, I would allow for more details than Officerzan describes. You might not be able to distinguish between a troll named Bear and an actual bear, but you could probably figure out that it was a mammal vs. a drone or a vehicle. Per the table on p. 173, the approximate size would be an appropriate piece of information to share. I wouldn't let the power sense micro-movements like typing or soykaf sipping, but the adept could probably distinguish between macro-movements like walking or skipping rope or commando crawling. I try to err in the adept's favor, remembering that this is something that the adept has had most of their life, and thus they have some experience in interpreting.
The environmental questions are interesting. I would say yes to all the examples listed. Again, details will be minimal - they don't know if it's water in the pipes or delicious hurlg - but they could reasonably determine that something is moving. The paid half a power point for it, so I think it should tell the player something rather than providing a simple yes/no to the question, "Is something moving?"