I like Mosins and currently have an excellent 91/59. I used to have an M38. I tend to like the shorter ones for some reason.
Please don't take this the wrong way. Most Mosins have had the crap shot out of them. They're old and worn and the butts are always nasty looking from being stacked in the snow. The barrels can be lousy from shooting corrosive ammunition and infrequent cleaning. Many tend to be kind of loose and sloppy.
They will shoot reliably, they chamber an excellent round that is more or less comparable to a .308. They will group like a combat rifle, not a tackdriving target rifle.
If yours is a decent shooter, I would suggest you pick up a Mojo sight. It runs around fifty bucks and is an excellent and useful improvement. Your accuracy should immediately improve.
I've never heard of anyone bedding a Mosin barrel before. Personally, I think it would not be worth it.
Now it's your turn to take it out and shoot the crap out of it. Have fun and post a range report.