I have been shooting a 300 win mag for some years, my son just moved up to a 300 PRC this year. I have had a few other rifles....Vanguard, Bergara, Winchesters, Tikka, etc. in various calibers. When it comes to the 300 win mag, I found out the expensive way that it is important think about where you want to go with it before you buy, specifically what bullets you want to be able to shoot....if you are a handloader etc. Sammi spec magazines for win mags for cartridge OAL is pretty short, and does not work very well for the newer heavy, high BC bullets if you want to load them to mag length, especially if you consider how most are throated. Twist is another issue. Very long story short, if you want to shoot 212's, 215's etc....make sure your mag box is long enough and you have enough twist to stabilize those bullets. I had to have my 300 modified to shoot the 212's, as the box was too short to load rounds that would get close enough to the lands to shoot well. Works fine now, but when we bought my son his 300, he went with a PRC....big box and faster twist from the getgo. There are win mags with long enough boxes from the factory, just figure out if that matters to you and then limit your list accordingly. Most win mags are also 10 twists, which works okay for 210-220 class bullets, but is not ideal. And if you want to shoot heavier, you'll need a faster twist. Brownings, IIRC, are 9 twists, like many PRC's.
On the other hand, if you want to stay with lighter bullets and/or only buy factory ammo, you are probably fine with any box that meets Saami length requirements. Not sure on the twist on the Tikka's (1 in 11 IIRC)...not sure how that will do with say 200 grainers at sea level where I live. My Tikka is a CTR in 260 rem, and it shoots wonderfully, great trigger.....keep thinking of selling it as I don't use it much, but it's such a joy to shoot, so I still have it. But in 300 win, the box is too short to hit the 3.7 OAL I need and the twist is too slow for what I want to shoot.
One other point, barrels/stocks/triggers...I eventually came to want to change all of these things. For that reason, I personally like Remington pattern actions. My 300 is NOT, and the chassis I want and the trigger I want is not an option. So when this barrel is done, I'll likely just sell the action cheap and start over. If I had taken the advice given to me when I bought my rifle, I would not have to do that. You don't have to buy Remington to make that happen, my son's new rifle is Bergara, so he gets the upgrades there, plus can use any Remington stock, barrel, trigger etc.
So again, maybe think about where you want to go with this long term (bullets, handloading, stock/trigger changes), and that will narrow your choices and you can go from there.
HTH!