Hi SAnewb85,
Recommend one of two ways.
2 step approach: Step 1 get a used .22- go cheap. like this:
https://www.usedguns.com.au/Product.aspx?p=179497 Get started and make some paper holes at 50m to learn the fundamentals and build your gear- moa or milrad, bipod and rear bag, windage and elevation, ballistic tables/app etc. Once you get a 2nd rifle this one will likely be a safe queen so don't spend alot on it. Get accessories- bipod, rear bag, sling etc. that you can transfer from rimfire to centre fire.
Step 2 get a centrefire. Zero at 100m and then work your way out to 1000m.
The main benefit with this approach is you learn the fundamentals and make off target mistakes at 9 cents per 22LR shot, instead of $2.50 per centrefire shot. And you can sell the 22 to get those dollars back, or keep it in the safe awaiting the bunny apocalypse.
1 step approach: Just start with the centrefire. You can punch some really small groups at 100m from day 1 with a centrefire, and when you get to consistent sub MOA groups you are ready to start shooting longer distances.
Recommendation for the centerfire is a 6.5CM. Ringing 1000m gongs is what this calibre was made for. And it is popular enough now that you will not have trouble getting ammo, accessories, etc. . Make sure you get a 20 MOA rail to get the reach you need past 700m with most scopes without having to hold over
(i.e crosshairs stay on the target instead of aiming above the target). Max zoom should be at least 24x. Spend as much on optics as you do on the rifle.
Most importantly, let us know what you do and how it works out. There will be a shooter 5 years from now reading this who has to make the same call. They would appreciate being able to learn from your experience!