Your permit is good here in Michigan. Michigan honors permits issued to residents of the issueing state (I am assuming your permit was issued my Ms.).
We don't have many convoluted laws to contend with, but there are a few. Establishments that sell alcohol for consumption (on premesis) for example. You can carry in one if the establishment generates at least 51% of it's revenue from sales other than alcohol (food I presume). How are we supposed to know? True, some are obvious, but...
It is illegal to carry the firearm if you have ANY blood alcohol content. You are allowed to keep it in the trunk of the car at that point (we have new pretty tough OUIL laws though, watch out for that).
You can get more info at our State Police FAQ page
here and can see how the laws changed a bit for CCW in 2003
hereThose plus other links and "ask the lawyer" from MCRGO can be found
hereBe sure to check out the "pistol free areas"
here and you should be about good to go.
We do have a requirement to notify officers on contact if we are carrying. If pulled over, my first statement to them when they approach is "I am required by law to inform you that I am carrying a concealed pistol".
As to carrying on the airlines, been 20 years or so since I've done it. Back then, requirements were lockable hard sided case (tupperware not acceptable) with unloaded weapon verified by them (they usually cringed). They'd red tag it with a "steal me" tag, and I'd then place the case inside my checked baggage. Ammunition in factory boxes only, maximum was I think 50 rounds. Seperate baggage. That was then. Now, I'd contact both the TSA and the airline for guidelines. FAA site couldn't hurt either.
Have fun in Detroit. Spend LOTS of money
.