I like in this order Federal 210M, 210, and 215M and 215, also CCI BR-2, 200, and 250 for Large Rifle and Large Rifle Magnum loads. I have used Winchester WLR and WLRM, Remington 9 1/2 and 9 1/2M as well. They work fine too, I just seem to find a good shooting load quicker with Federal and CCI primers in my experience, maybe I'm wrong or mistaken, but that's sure how it seems to go for me. I've been reloading for 22 years now, but I still learn new things all the time. If I didn't have the luxury of choice, I'd use any of the brands I mentioned, tinker until I find a good load, and not give it a second thought.

Fan of BR2s. Seems all my most accurate loads are with them.

Ive gone to all federal primers, stocked up a couple years ago, and still have quite a bit left.

To the WLR/WLRM fans, I have two partial bricks if you want them. That is if you can keep them from blowing holes in your bolt faces .

CCI for me from now on.

I use Federals mostly, but in cases that take small rifle primers I've been using CCI 450's and 400's.

The only one I absolutely refuse to use is Remington primers. I've had too many misfires and hangfires with remington factory ammo to ever trust their primers.

The local shop always has the federal 210M and 215M so thats what I use. I tried cci but ended up going back to federal since i develped my loads using the fed match primers.

I started reloading about 1965. Don't do magnums or heavy loads. Load for 243, 6mm Rem, 260 Rem, 7mm-08, 270 and 30-06.
I started with CCI 200 and still satisfied with their performance.

CCI's for my rifles. Winchester for .45 acp and shotgun. Dunno why, just how it is.....

Ive had several problems over the years with Remington primers failing to fire or hang fires in extremely cold weather,in my 375 H&H and 378 wby, never an issue with federal or Winchester so I just don,t use Remington any longer, I think part of the problem might be related to thicker and stiffer primer cup metal in the Remington because the indents don,t look as deep in the fired cases as they do with the fed,Winchester or CCI primers.
it was easy to tell because the GOLD color Remington vs the silver federal primers, I usually load up 120 cartridges for a hunting trip, just in case, but seldom use more than a couple to verify zero and one or two to kill game. one year I loaded about 200 because both my sons carry 340 wbys, and I loaded 40 with remingtons. both my older son and I had hang fires, both with the gold primers

I too have had issues with Rem and Winchester failing to fire in mutiple calibers in all weather conditions. maybe I have just been unlucky? I switched to CCI many years ago and have had nothing but success with them in every gun I load for. Never tried Federals except in shotgun shells. So my vote goes to CCI.