RE: Model 70 Floating Barrel
USMC PMI's advice is right on the money - - don't mess with it if it is behaving itself. However...
I have a push feed Model 70 Featherweight .243. When I first got it, the accuracy was pretty poor, and the trigger pull was awful. I adjusted the trigger myself (easy as pie on a Model 70) and this made the trigger pull very nice, but did not help accuracy as much as I thought it would. I noticed that accuracy was actually not bad if I let the barrel cool completely between shots. I then floated the barrel myself. Accuracy immediately came right in to respectability.
If you're not handy, or are unsure of your abilities in any way, let a gunsmith do the work for you. If you let a smith do it, throw in a few more bucks and have him bed the action as well.
Good luck.