I am WAY outclassed by the above in terms of bullets etc.

One word of advice, try several different guns, they all are slightly different. A few years ago I treated myself to a new rifle, wanted a bolt, .30-06. I did some research on price/quality options and settled on one of 5 guns. I went to a shop that had them all and shouldered them all sighting down the barrel by quickly mounting the gun with my eyes closed, then open them.

the gun I ended up with (Remington model 700) came naturally up to my shoulder nicely aligned, the others were all off by a bit.