The kids are usually up and ready to go around 7:00. So whenever I can, I try to wake up before them. I don't set an alarm, and I don't get up before 6:00, but I try my best to get up around 6:15 every morning.
It amazing how much you can get done in those moments before the day really begins. I like to use this time to make the bed, shower (if not going to the gym), get dressed, make coffee, let the dog out & feed him breakfast, get my bag organized for the day (this usually happens the night before though), check email and empty the dishwasher.
This way, when the kids are up I can fully devote my time to them, and not worry about having to get all those other things done.