Your best bet is to have a good set of pictures to hand over to the responding officer so he can have a head start in investigating and recovering your stuff?? A picture of a vehicle with license plates will go a long way in finding the perpetrators.
I had the bad luck of being burglarized, but great luck with game cameras. Emailed pics to the sheriff who recognized the perps, said normally it's the same small group of local thieves causing most trouble in the area. They preferred to amass a bunch of evidence so they can get solid warrants and go after them in one shot (and make it stick). They don't like to go after the guys with half-assed info, which the perps shake off (and learn what they did wrong, and hide better after that). So they were thankful for my game camera pics.
Sheriff felt my evidence of the perps casing the night before, their truck (lic plate); then doing the deed & carrying my belongings, were very strong evidence. Also that the perps were so young (~22) they felt the kids would sing, which they did. Next call I got from Sheriff was that the guys were hit so hard (with my pics) they implicated 4 other people in 6 other burglaries, also identified who bought the stolen stuff, all-in all got 25 names from these kids, and the whole investigation started by my great pics. Cops raided their (ex-con dad's) house; got stolen guns, chainsaws, reloading eqpt, a fresh bearskin & other poaching evidence.
Ultimately the courts 'traded' my specific case away for guilty pleas in other cases they deemed more important. So they were never tried on my case. Which was fine by me I wanted them 'out of the neighborhood', didn't need to see the sad reality of dumb kids who injured their their futures beyond repair. Perps were in jail for a month at least, awaiting trial, but once I heard my case was traded away I stopped following. I thought (at first) that nothing would happen at all. So getting half my stuff back, and now it appears different people are living at "the trouble house", so I'm glad they're gone.
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A new
$599 Bushnell trailcam is interesting, will txt a low-rez pic to your phone. It also keeps the hi-rez image on the SD card, but at least you can tell if it's a deer or human snooping around, maybe recognize the human. You could tell friends who drop by your place to always walk up to the camera for a mugshot, so when you get the txt you know its friend not foe.
Agreed the camera needs to be hidden, which can be difficult because all the game cameras are a big box. They need to put the motion sensor and camera lens on a remote wire so it's easier to hide.