I recommend Lee equipment if you are on a budget and just getting started. For the bullet puller I would suggest the Lyman magnum impact puller for what you are wanting to do. Sierra makes a .311 match king that might work pretty well. It would at least be worth a try.
...or you could scrap the whole plan and just get a .338 Lapua.
I fixed it for you... lol
Signal-0 Productions Firearms Training... for the working man.