ABC's of Reloading. The holy grail.
A gunmaker by the name of Fulton - google him - has some interesting remarks with regard to handloading for the M-14 family, although he obviously hasn't handled the Chicom knockoff. Probably a worthwhile read for an absolute novice contemplating reloading for a Norc.
But by all means, load for the Weatherby. .308 Win is a perfect round to get started in. There are literally dozens of match bullets, varmint bullets, plinking bullets, hunting bullets, and just plain bullet bullets in thirty caliber, and all except the heaviest can be loaded in .308 Win. Expect to meet or exceed factory accuracy when using match bullets, load light weight plinkers over light loads to master running the gun like a rifleman, (the absence of significant recoil means you can concentrate on a compressed squeeze, and you can focus on not leaving the trigger until the muzzle rises, and being back on the trigger before the sights settle) or you can brew up an adequate grizzly bear defence round. Very versatile, and all with your own hands.
Oh, and it will keep you out of the bar nights.