[Texlexic]

I recently did much the same, IL to TX and back. I have a FOID and CCL for IL.
Get a decent soft case for your long guns, and a safe for your handguns. Use cable locks to secure the big case in the trunk (or all the way back in an SUV), same for the pistols.
Then, don't get pulled over. I see plenty of idiots doing worse than me all the time, and as paranoid as I was about having IL plates, made it home safe and sound "riding dirty" through some pretty notorious areas.
Good luck with your move!