JimKirk,
This will be long, but here goes:
First, as with any brass I reload, I tumble it, twice. The first tumble is in treated corn cob to clean and polish it. The second tumble is in untreated corn cob to remove any traces of the polish, which will produce very fine scratching of the brass in a carbide die. It only takes about 30 minutes in untreated corn cob to take care of this.
I then spray the brass with case lube and and run it through my Magma Case Master Jr.:
http://magmaengineering.com/products/case-master-jr-rimless-case-sizer, which sizes the body of the case and the rim, making all cases uniform. I then full length size and deprime it in a Dillon Carbide sizing die (which is expensive and isn't necessary, but I have it). The spray makes the brass go through the carbide die with almost no effort, and I like to do large batches of a couple thousand at a time, so the reduced effort is a big plus in the long run. Then I clean primer pockets and chamfer the inside of the case necks, if it's brass that I haven't already done this step to. After sizing, depriming and chamfering, I then tumble it again in untreated corn cob to remove the case lube. Sometimes I'll add a cap full of mineral spirits to speed this process, which only takes about half an hour in the tumbler.
After removing the brass from the tumbler, I then inspect all of it for any corn cob in the flash holes. I do this because it gives me another opportunity to closely inspect the brass, and this is a high pressure round, and I don't want any damaged brass being loaded.
I then run the brass through a Redding neck expander for 357 Sig and prime it. Everything has been done on my RCBS Rockchucker (with the exception of the Case Master Jr.) up to this point. When I have primed brass that's ready to load, I then switch to my Hornady LNL progressive, without a sizing/decapping die installed. The powder charge is added, the bullet seated, and the last step is the Dillon crimping die, which is all done with one stroke of the press handle.
After loading, I put all my loaded rounds into Berry's plastic 100 round ammunition boxes for storage. When you buy them by the case, the boxes are less that $1.00 each. After boxing, I make labels on my computer and each box label contains the bullet weight, powder charge, OAL, primer lot used, and the date of loading. All this data is also entered into a binder, one for rifle loads and one for handgun loads. A sample of the label is also pasted next to the entry in the log for easy reference.
That's basically my process, and it works for me. The nice thing is, since it's my shop, I get to make the rules and do things the way that I've found work best for my needs.
Hope this helps.
Fred
Oh no, not the 357 Sig again. lol 
