The Grammies. And the Superbowl.
OK, so for Lady Gaga, here are my notes: Have a dancer take your microphone when you're leaving the egg or when you go up and down stairs. Any time you don't need the microphone to sing in or as a prop, make someone else carry it.
Have a safety person walk you up the stairs. Don't worry, you'll look elegant.
Now you're asking yourself: why is the mix for Lady Gaga just fine when the mixes at the Superbowl were so awful? Well that's because experience shows. And they only started doing those halftime shows at Superbowl games a couple weeks ago and...
OK, there's no good reason.
I can't imagine that the lead vocal you hear on that Lady Gaga performance is entirely Lady Gaga live. Because she's dancing a lot. Her dancers are winded. And you have about zero breath and pitch control when you're that winded.
That being said, we can imagine that a lot of the Superbowl Black Eyed Peas performance was mostly done with live vocal microphones. A little (or, at times, a lot) of autotune goes a long way.
The Superbowl? You didn't have a professional mixing the Superbowl. Wherever they were it was TOO LOUD IN THE CONTROL ROOM. Those levels have to be way down. And don't let anyone talk to you on the IC either. When you mix too loud you just can never "seat" the vocal into the music minus tracks.