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Without doing anything to your rifle, and assuming the barrel is in decent shape, the easiest way to improve the accuracy is with good ammuntion. The cheap military surplus ammo is often not very accurate.

Good quality ammo will go along way to making even a mediocre rifle more accurate. Beyond that, handloading, tailoring the ammo to the rifle will usually do even more.

Slug your barrel, so you know precisely what diameter it is. The 7.62x54R should be nominal .311-.312 groove diameter, but these rifles have been known to vary a lot from the standard.

To make the most accurate ammo pratical, match bullet to bore diameter is a basic first step. Then comes all the tricks with seating depth, and case consistancy.

Even rifles with "shot out" barrels, that shoot patterns instead of groups with jacketed ammo can often be turned back into accurate rifles (if with somewhat less power) using properly sized cast bullet loads.

Before you do a bunch of mods to your rifle (which may not be needed) shoot with some good quality ammo, for a baseline, if nothing else.

And another thing to look at , before you start worrying about bedding and all that, is simply, the trigger. Accuracy includes how well you can shoot the rifle, not just how well the rifle can shoot. A match barrel and a crappy trigger often won't outshoot a fair barrel and a good trigger. A good trigger means you can shoot it better (shoot better groups), the amount of difference can be amazing.