Hi Middle:
From my flying experience I always used my "aux" tanks first.
SInce you take off and land on your "mains", I would take off on the mains (that usually have fuel gauges), set up my fuel flowage, then switch to my "aux" tank (tips or belly) and "time it" since most of the time you don't have fuel gauges on "aux" tanks... That way when your 'aux" tanks run out and you have to switch back to your mains, at least you'll have gauges to guide you by and hopefully they'll be calibrated correctly!!!
I also would try to burn off the extra fuel first so as to get the balance back to the center of the airplane. (ie: tip tanks or wing drop tanks) To make your flying easier and more enjoyable, you always play the "balance" game!!
Keep in mind that this is the way I use to do it - I'm sure other pilots had different scenarios..
I will assume that if there are several "center" tanks involved (forward / back), again you play the balance game so the aircraft "CG" remains inside the cg envelope..
Altho I was never a pilot in a war, I believe they used up their drop tanks first so they could get rid of them in case they got into aerial combat.
On the Mustang my brother once owned, he had 45 gal "wet tips" that fed thru the mains so we would take off, burn off about 50 gals out of the mains then pump out the tips and verify it by the fuel gauge..
Anyways, I hope this helped ya..
Bill
PS: There are exceptions to the rule tho!! I believe the "tips" on a T-33 (and maybe even a Cessna 310 or a MU-2) are considered "mains" so then yes - you would burn off the mains first and your "center" tank would be your last one - you DON'T want all that extra weight hanging way out their any longer than you have too - especially when your trying to land...