Should I? Would you? Why? I've never reloaded new brass before, so before I do, thought I would see what others recommend.

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"Don't let so much reality into your life that there's no room left for dreaming."

Plainview, no point because it will be clean and untarnished so no point in tumbling.
Sarge

Pretty much the first thing you have to do to new brass is staighten the neck and smooth the case mouth. If you want to make it simple get a lyman "M" die. M stands for mandrel. These are real cheap (about $8-10).
They are caliber specific--IE a .308 works for any .308 from a 30-30 to a 30-378.
All a M-die does is slide into your case mouth and make it exactly the right size for a .308 bullet. (It gets the wrinkles out) and gets the case mouth diameter quite perfect.

SO TO MAKE IT SIMPLE--Put a slight amount of lube in your case mouth. Run your shells over the m-die. Do a inside chamfer of the case mouth. Toss 'em in the tumbler to clean the shells and get the lube out.

This whole procedure should not take more than 5-10 min for 20 rounds. If I'm real ambitious I'll also debur the flash hole, and uniform the primer pocket befor tossing into the tumbler.

ANOTHER HINT-shop the catalogues and try some federal gold medal brass. It will cost you about $3-6 more per hundred rounds but you will have virtually no runnout on your cases and perfectly uniform neck tensions and tolerances.

I personally prefer Winchester brass in all my rifles. They come with some sort of very light lubricant or preservative on them. And in addition I always find 6 to 10 of the 100 that have some sort of brown spots on them. After running them through an M die, trimming, deburring, and uniforming the primer pockets,weighing, and running them through a full length resizer, I always throw them in a tumbler to get that very light coat of what ever it is Winchester puts on their brass off. JMO for whatever it is worth. I shoot 800 to 1000 rounds of 308 every year...so I get to work with plenty of brass. After all that no wonder I look for a piece of brass dropped in the grass.....LOL

Shoot Safe, Shoot Straight...RiverRat

NO, but I sure Would size it agin ta be sure an chamfer an debur it. An I'd mike it to. luck hotdog.

I don't even own a tumbler, every time I decide to purchase one I talk myself out of it and opt for something to try and get smaller groups with the caliber of the day at the time. I would straighten, deburr, and chamfer the case necks as has allready been suggested and uniform the flash holes if you so choose but the necks are a definate must unless all of the brass I've recieved by mail is the exception and not the rule.