You've gotten some good advice here and i'm going to repeat some of it....
1. pillar bed and skim coat the stock.
2. free float the barrel
3. tune your trigger to 3lbs or less (your preference)
While your rifle is at the gunsmith, start reloading your ammo.
When your rifle comes back, take it out for some test shooting.
I will have to respectfully disagree with angus on 1.5moa being acceptable accuracy. Generally speaking, your hunting accuracy is not as good as your bench shooting accuracy. Keeping that in mind, I would recommend you find a load that will shoot .75moa or better (.5moa would be great and not outside the realm of possibility).
If you're going to rebarrel your rifle that opens up many many possibilities. You will first want to decide how you will use the rifle. It sounds as though you will want a rifle that is a 'carry' rifle. If that is the case you will not really want to exceed 10lbs with 9lbs being better. I'm 42 and in great shape and 9lbs is all I want to carry all day. My 12lb rifle is pretty much for setting up here and shooting waaaay over there.
So, accepting that you want to build a carry rifle - to rebarrel the rifle I would suggest you go with a slightly different caliber than 270. The 280 comes to mind. I think that one of my rifles would be a good model for what I would recommend to you..... My 280 - Updated!