If you've never done it before, take a piece of sandpaper and wrap it around the appropriately sized deep socket. Best way I've found to open a barrel channel up.
Just make sure you're aware that you must take extreme care to avoid the tendency of that method to take more material off one side than the other.. You really must pay attention to keeping the channel walls evenly spaced.
I've preferred using the various scraping tools available for barrel channel modification; mainly because you can take even strokes from both sides of the stock and more easily keep the walls exactly the same thickness..
Whichever you use, go slowly and measure often.. Best to you.