Well, for a fellow Mineesotan, I'll be nice.
First I would do a google search to make sure these responses are accurate.
Mabey even buy a book.
The most common 9mm is called 9mm, 9X19, 9mm NATO, 9mm Luger, 9mm auto and some other names. Vitually all 9mm pistols sold now are chambered for the 9mm luger/NATO/auto.
The only oddballs I can think of is the 9mm largo, 9X18, 9X21 and the 9mm kurz (.380 auto).
Cartridges marked +p (i.e. .38 spl+p, 9mm+p) are loaded to higher pressures than normal and can only be used in firearms rated for +p ammo.
For instance, If you bought a 9mm Glock 17 and read in the manual that is was rated for +p ammo, you could use 9mm+p and regular 9mm ammo.
.38 spl and .38 spl+p can be used in .357Magnum revolvers and lever action rifles.
There is no difference between .45 auto and .45acp. There are not the same as .45Colt (.45LC, .45 Long Colt). The .45Colt is a revolver round. The .45acp is a pistol round.