I've been shooting and reloading the .308 Win for about 30 years. Currently own two, one in a Rem. 788 model, the other is a TC Encore. I've gotten old and fat on venison from that little Rem.
Not a particularly finnicky round. Different powders, different brass, different primers. Freezer stays full of venison every year. Hogs get fewer. Coyotes keep disappearing.
Get a manual, PLUS listen to the old man. The manual will prevent you from THINKING you have that load memorized, the old man will keep you from doing something stupid, like double charging(this would be all but impossible in a .308, case won't hold that much) but still.
I tend to go with Nosler Ballistic Tips, 165 gr., in one ofthe "accuracy" loads. The manuals will have it listed that way. And if you'll notice, these tend to be less than the full on hot loads. It will put the bullet where you shoot it, which is way more important than getting there a mili-second before the slower accurate load gets there, and both will be traveling plenty fast to get the job done. You save a tiny amount of powder, and a bit of recoil.
If your Dad has been reloading, then he likely has somewhat of an assortment of powder. Go through that, cross checking with your manual. The .308 is friendly enough with so many different powders that you'll likely find something in there that the gun likes. Experiment with different powders, primers, brass, case lengths(stay inside the specs), bullet seating depths, all the variables. You can get as involved as you want. Some benchrest shooters get so particular it's like loading in a cleanroom or surgical suite, and building a space rocket. hen there are hunters that carry a portable press with them to the field, and reload there. Somewhere in between is likely your spot. Get the load shooting as accurately as YOU can shoot, then shoot. A lot. The ability behind the gun will make or break more shots, and more hunts, than all the science and load tinkering in the world.
You have one of the most effective rounds, and one of the most versatile rounds, in existence today. Shoot the rifle. Shoot. Shoot. Shoot. Ad nauseum. The more time behind that trigger, the better. Whether your punching paper or filling a freezer, practice. Which will lead to more reloading. Welcome to the forum, and to the .308.