Canuck, Fly the 172 in with due care, and appropriate techniques, and look forward to a very pleasant and rewarding experience, you're gonna be just fine.
I agree that some POH's say to run up to full power against the brakes. My preference is to not do this, primarily because most brakes won't hold the plane anyway and if they will, the grass still won't I would rather the plane move when I expect it, not when I'm not. The propeller is pretty well completely stalled, and thus very inefficient anyway. My opinion is that this is a recommended technique more to reduce pilot distraction for more complex engines, where the pilot must actually "set" power. It's a 172, just point it the right way, keep it straight, and push the black knob all the way - then hold it there.
An element to consider is that with the big power set, you've got a lot of torque which the brakes are holding (hopefully!). When you release the brakes, it's going to want to yaw left, so it's one more thing you've got to be ready for. I'd rather open the throttle gradually, and have that torque come in less suddenly, while the rudder is becoming effective to give you control.
On tailwheel planes, power against the brakes is less desirable, though I still have seen it specified in the POH. In one very torquy turbine taildragger I flew, I followed the POH technique, and had the poor thing screaming against the brakes at 95% power. When I let off the brakes, it headed left despite all my right directional control application, and I was looking at oncoming runway lights. I missed than, but it was very unsettling. I don't do that anymore!
As for the climb away speeds, clear the obstacle (if any) with the speed you need to land safely ahead if it quits. Please consider what I presented here:
http://www.avcanada.ca/forums2/viewtopi ... city+curve
The operation you're describing does not require any unusual effort, just pay attention, and don't be sloppy. Good on you for asking, always do, if in doubt, but you're about to get the first stage of bush pilot smile on your face!