I'd add one more tip for the bedding newbie: start small. Bed the fore-end tip only. It's easy to get to, there's no metal anywhere around to cause problems, there's no hard overhangs to cause a mechanical lock, and it's relatively easy to get it back out if you muck it up (voice of experience).
Writer John Barsness in the November 2003 issue of Rifle magazine had the following advice, which I'll pass on in the first person, since I now agree with him. (The "start small" is mine, however.) The Brownells' instructions specify bedding the tang - I'd pass on that permanently as something not really worth the effort. For the receiver, any non-Ruger action can be improved by putting a little dab on the rear surface of the recoil lug inlet, but not the whole lug inlet. First, if you're starting small, you won't be doing the lug inlet yet. Second, you don't want to do the entire recoil lug inlet, as re-seating the lug after disassembly will be difficult if any foreign matter at all gets into it. Also, you don't need the front of the inlet glassed, since you only really care how it nestles in against recoil stresses, which is at the rear. (Ruger angled bolts geometry already takes care of this nestling, so the M77 doesn't really need epoxy on the action.)
Barsness also recognized that the first step is "scary," and it is. Don't do an heirloom first, or something you care a bunch about, since you will definitely be learning. Take a look at my "Lessons Learned" thread, particularly about the electrical tape and release agent: don't put release agent under the tape.
Think about screw tension before you start. If you start small on the fore-end, I'd say standard screw tension for curing would be fine. For the action, it's not, which is the other reason I wouldn't do all of the bedding at the same time. For bedding the action, including the rear of the recoil lug inlet, recall that you want a surface that matches the lug itself so that it will "nestle." You can't get that if the screws are too tight during curing. So, I'd say start the curing process with the screws almost tight, then back them out after 15 minutes or so, or when what's left of your epoxy in the cup or on a piece of cardboard shows definite hardening.
A really good idea would be to buy the Rifle magazine with Barsness article on "Bedding 101."
Good luck.
Jaywalker