Re: bullet and case concentricity
I check each an every round after seating the bullet, while waiting for the Chargemaster to finish. Bullet runout <= 0.0015 for long range or anything precision. Most are 0.001 or less...
A fully supported seating die like the Redding or Forster match/benchrest types are the best (regular presses, not counting arbor setups). It isn't necessarily the seating die though. If your necks are uniform and concentric, there are other culprits for higher runout. It can show up even when using the supported dies. Other things that can help get it down:
*Clean the insides of the necks. Dirty necks can affect bullet runouts even if your necks are straight. They can affect neck runout when sizing in a collet die too. If I dry tumble the brass (as opposed to US or ceramic), I clean the necks with a bore brush with some 0000 steel wool around it or with a bore swab and a bit of Flitz. Not looking for a shine, just don't want to see any grit.
*Make sure that you're trimming your brass square and that the chamfer is also square. Many people obsess over trimming and then ruin their "perfect" trim job with a sloppy hand chambering. The edge of that chamfer is the first and last point to contact your bullet, it needs to be square.
*Anneal your brass. Stresses in the brass caused by work hardening are not necessarily uniform. They may create more tension on one side of the case than the other. When brass starts to get hard, runouts creep up.
Also, check that your press isn't the problem. A buddy of mine could never reduce of his runouts. He eventually realized that his new Rockchucker had extremely poor tolerances and that the ram was "kicking out". Here are some vids of a display model at Cabelas that did the same thing:
http://s23.photobucket.com/albums/b356/k...nt=P1040808.flv
http://s23.photobucket.com/albums/b356/k...nt=P1040807.flv
http://s23.photobucket.com/albums/b356/k...nt=P1040805.flv
There is an option to watch them in full size.