RE: how far to sight in
I nearly always sight in a modern scoped centerfire to be between 2" to 2 1/2" high at 100 yards. Depending on how high the line of sight is above the line of bore....the caliber/bullet/velocity is....determines my Maximum Point Blank Range (PBR). For most of my rifles it ends up zeroed between 200 to 300 yards. But with that zero the flight of the bullet is never much higher or lower than 3" from the line of sight all the way out to the PBR. Which will be 30-90 yards further down range than the actual zero.
Essentially, my bullet is no higher....or no lower than 3" out to the PBR. And that range is determined by the factors I indicated above. I have found this sight setting works great for me on medium game (deer, black bear, etc.) for any range that I am likely to take a shot at! I do zero my varmint rifles a little differently. As would I a rifle intended for tactical use!
On slug guns, or peep sighted carbines (especially in handgun calibers), I am much more likely to zero dead on at 100 yards. A scope sighted carbine in a low intensity rifle caliber, (ie. .30-30, .35 Rem, .45-70, etc.), I am much more likely to zero the rifle for 1" to maybe 1 1/2" high at 100 yards. If this seems like a lot of things to remember...you can do like some very successful hunters I've known. They zero their rifles...determine point of impact out to all reasonable ranges....print it on a small card.....and laminate it on the stock!
Good luck!