A few tips/hints:
1. By far, it's cleanest with a holesaw. Yes, a good one is $20. The right tool for the job makes all the difference though. Don't lean on the drill; let the bit do the work. If you lean on it, you'll bind the bit and possibly burn the case and/or rip into the surrounding metal, not to mention you'll DULL the TEETH on the holesaw. A good bimetal holesaw will not wear out after a few uses if you're not leaning on it. Let the teeth do the work.
2. You can make a hole w/a Dremel bit by actually cutting into the metal and going AROUND the perimeter of the circle with the edge of the cutting disc. I.E. if you're looking down onto the disc it looks like this | not like _
3. Before cutting, drilling even the tiniest hole in a case, you need to remove EVERYTHING from the case. The tiniest of metal shavings/dust will fry your rig. It will take you 30 minutes to remove everything and 30 to put back. Is an hour of your time worth the $$$$$ you have invested in PC parts? That's up to you.
4. After I finish drilling/cutting on the empty case, I use a vacuum to get all the shavings and bits out. Use a damp rag too if you must. Don't rush the job; you've already taken everything out of the case, right? Do it right, the whole way through.