Yeah, that works. I just don't assume that everyone has the correct tools. I don't want to discourage you.
I would suggest going to realoem.com and looking at their exploded diagrams of the exhaust, that will give you an idea of what to buy and what to break. The most essential would be the bolts the hold the end of the new muffler to the existing pipe. A "saws-all" seemed to be a good plan of attack on those rusty things.
Oh, and by the way, I'm a girl, not a man.