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I just went through this a few times a couple months ago, and things work like your past experience.

One thing that I found out is that at least for American Airlines there's a limit on the number of guns you can have per gun case. You may want to check this to prevent you from begin forced to leave behind guns on your return trip.

I think the limit is 2 rifles or 4 pistols per case. I don't know what happens if you mix them in the same case. Since I was moving, I've been putting 4 barreled actions and 1 shotgun per long case and storing rifle stocks separately in normal checkin bags . So I was moving 5 "guns" per case. Although the screeners didn't pick this up, a sharp screener could have made my travel very difficult be not letting me check in the gun cases. I only later found this out, but after I'm done w/ travelling.