/diy/ - Do It Yourself

Well, I was moving a dresser while moving out of my apartment and bashed the corner into the drywall. It's too big for one of those little patch kits and I have weeks until the apartment walkthrough evaluation. Now's a good time to learn drywall. Anyone have any good DIY homeowner/etc drywall tutorials they like or advice? I watched a few vids on how to cut, brace the patch piece with wood, and put the patch piece in but taping and mud I'm clueless on. Also I know there's a little hand power tool that cuts specifically the depth of the drywall without risking hitting any electrical. I'd prefer using that over jab saw to avoid hitting pipes/electrical so tips on what those are called/etc would be great.