"...really just as easy as..." Yep. If you haven't shot it, do that first with good ammo. You need a base line to know if floating the barrel makes a difference. Some rifles like it, some don't. Remington's tend to like it, but the only way to find out is to try it.
Start by running a $5 bill under the barrel to just before the chamber area. If it stops before you get to the chamber, there's a pressure point(that should be just aft of the end of the forestock). If it doesn't, the barrel is already free floating. Then just sand out the pressure point, reassemble the rifle and go shoot it again. If the accuracy gets worse, putting the pressure point back in is no big deal. You just put a dab of bedding material an inch or so in from the end of the forestock. Do not forget the release agent.
Bedding improves the fit of the stock to the receiver(You don't ever bed the whole barrel. Even if a pressure point is needed) and stops the receiver from moving in the stock. It's not hard to do, but does require a bit of patience(not a lot though). No special tools are needed. A padded bench vise makes it a bit easier. It's not a 100% guarantee of better accuracy, but it will improve consistency.
Buy an Acraglas Kit. About $30. Comes with instructions, the release agent and colouring so you can get close to the colour of a wood stock. It's two part epoxy with fibreglas powder for thickening and added strength. Use the same material for the pressure point should you need to put it back in. Do not forget the release agent.
Like Shack says, with a synthetic stock, a few wee drilled dimples will help. So will roughening the inside of the receiver area and out to under the chamber with sand paper.
