The beedly-bidly BEST...
Shovel 66--You're asking an impossible question. There is no BEST set of reloading dies for all applications.
Now, the most precision die would be something from the likes of Sinclair, be highly precisely made, and cost a mint. And also not work in a "regular" reloading press like an RCBS Rock-chucker, Dillon progressive, or similar. BUT: You're shooting autoloaders, that have to have the cases full-length-resized every time around. You just can't make use of that level of precision--It's for the likes of bolt action benchrest guns, where a difference of 0.01" in group size at 100yd will win or lose a match. (Incidentally, you can't control every aspect of every single cartridge reloaded, as precisely on your progressive as is possible with a single-stage press--One more argument against having the most expensive, high-precision dies possible...)
So: What you want is NOT the most expensive dies to be had, but dies that will work well for your purpose, which, as I understand it, is to produce respectably accurate ammo for use in your autoloaders.
This can be done with a variety of manufacturers' dies. I agree with Khaotic, the micrometer-adjustable bullet seating die is a good thing. Several makers produce them, and they all work about the same. The other die you'd need would be a FL sizing die. Most of my dies are RCBS, but I also have Redding, Lee, Dillon, and Pacific dies which work just fine. I think that ANY good-quality FL resizing die from one of the reputable makers would fill your bill, and not cost you an arm and a leg.
Die makers are generally great with customer service, Dillon and RCBS notably so. If you were to get any other than excellent results from their die, the maker would probably want to know about it, so as to correct the problem and/or help you with whatever difficulty.
Bottom line: For your application, IMHO, a micrometer seating die, and a good-quality FL decap/resize die, from any of the major makers, should suit just fine.
Good luck in your search, and please keep us posted as to results.