I went through this a few years ago with tools stolen out of my truck. I found a couple of my stolen items on Craigslist, I already had a detective because of the previous theft. Long story short, it would seem cut and dry but it's not that way at all.
The police set up a sting from the CL ad, found and took possession of one of the tools I lost, confirmed it was mine, brought in the suspect from the listing for questioning. After all that the DA said it's not enough, let the guy go on a BS story that he traded for my tool but could not remember who with. To top it all off the local PD left the case open so the tool is in an evidence locker at the police station and I cannot have it back without status change.
I wish the OP the best of luck in getting his stuff back, my advice is to stay after the detective assigned your case. Theft is apparently low on the list of things detectives have to do, at least here, they need reminders often. Call the officer at least a couple times a week, I ended up with more than one detective and the promised call backs often did not come. I see that some of the items have bids already, I would specify to the officer that something needs to be done quickly before the items sell and create more headaches.
Theft is horrible, I am not a vindictive person, but I wish the worst for thieves, in my case it was what I make my living with.