Re: How long to anneal each case?
Yeah, annealing is a MUST. You can't maintain accuracy unless you do it.
It's a touchy feely process of learning and, you already have some good advice here. I also use the Hornady tool that fits on a drill but, you could probably just use an appropriately sized socket and achieve the same result.
I usually make the blue flame about 1" long, turn the case and get it about 1/8" from the case neck and, watch for the color change.... usually takes about 6-7 seconds then I drop the cases on a wet towel.
The only other thing I'd add is, don't be scared to anneal your cases. If you don't overheat the head of the case, there is no danger. It's possible to get the neck too soft but, that won't affect the ability of the case to do it's job. If you overheat a neck, you can feel it in the seating process.
Anyway, it's not that hard and, if you're not already annealing, you should just bite the bullet, so to speak and, just learn how.