Warne rings and bases are a "Weaver-style" setup, just made out of steel rather than aircraft-grade aluminum. Very solid setup. Good choice.
You will need blue thread locker, Torx driver, alcohol or mineral spirits, and about 15-30 minutes.
Clean out the holes in the action with alcohol, GunScrubber, or mineral spirits. Align the bases over the holes. Put a drop of threadlocker on the threads of the screws and insert the screws, tighten firmly but not to the stripping point. Repeat with the other base.
I am assuming you have the vertically split rings.
Remove the screws holding the rings together and take the rings apart, making sure to keep the proper ring halves together as a set. Clean the threads with alcohol or mineral spirits. Put a drop of threadlocker on the threads of the screws. I typically put a drop of threadlocker inside the ring, but you don't have to. Lay the scope in the rings, insert the screws and thread them in, but do not tighten the screws. This should leave enough slack to be able to put them on the bases.
Place the rings on the bases, tighten the two bottom screws snug but not tight. Align the scope, set proper eye relief. Tighten the top screws, then the bottom screws. Recheck the scope alignment. Loosen and adjust if needed. Retighten everything. Set the rifle aside until the threadlocker sets. Go shooting.