I've involved the cops twice for a stolen property. One was quasi amusing/depressing, the other went well.
1) Ann Arbor, MI in the mid 90s I was in law school and a buddy visited from Virginia. His car got stolen outside my place (which was surprising as Ann Arbor is a very clean and safe city). We reported it, and incredibly, a few days later they found it in Detroit abandoned. So kudos to LE for finding it and letting us know (don't think they were actively looking, they just found, looked up registration and such and reached out).
So we go to the "station" in Detroit and my oh my, we felt like we were in a third world country. The area around the station was like a war zone, and frankly, not to bash LE, but they really didn't appear to be our nation's finest. The station was a mess (garbage, it smelled, etc.), everyone there was about 100 poundsd overweight and disheleved and unkept, and it took like 3 hours just to "find the file". I imagined it looked like a police station in Mogadishu. I mean I was worried about the civilians in the area but the cops there were equally sketchy. Regardless, buddy got his car back. Detroit and St Louis are pretty much the most god awful cities I've ever been too.
2) Few years ago here in Seattle someone broke into my Benz and took random items. Someone in the neighborhood called the cops as they saw my window broken and a sketchy tweaker looking dude walking around. Cops were on scene fast, found the guy, and found my stuff on him. They knocked on my door and let me know they think they found someone who broke into my car (I didn't even know it was broken into as I didn't hear it). They take me to the dude and I identified my stuff and they took him off in the paddy wagon. The police were super cool and professional. Heck, a few weeks later a "victim's advocate" even called me to give me updates on the dude's case and told me how I can track his case and follow it online. (and he probably only stole $100 work of stuff). People like to bash Seattle and all that but in that instance the cops and prosecutor's office was really good and cool. (I've had some bad run-ins with LE here - i.e., being questioned or pulled over for stupid stuff (especially when I was a teenager and young adult in the 80/90s), but I've also always got warnings for speeding even in egregious "yea I did it" cases. They are pretty pragmatic here generally towards me.