I am just a freak of nature that genuinely enjoys getting up at the crack of dawn. In fact if I'm getting enough sleep I naturally wake up before the alarm (which, when I need it, is a clock radio quietly set to NPR -- human voices to get tangled up in the dreams before actually waking me up, not too jarring, yet always gets me up every time.)
Every morning I boil water for coffee, feed the cat, do some dishes as I wait for the water to boil. Once coffee is made it's stand at the easel and do loose meaningless crayon drawings until I feel warmed up enough to get some real work done. I try not to do anything too internet-y until at least mid-morning, but it's not always as simple as that (sometimes you have a high-maintenance client, sometimes you forgot to put your phone face down on the desk and it's blinking that tantalizing "new email or message" light.)
I honestly try NOT to have a late night, because compared to my pals who work 1pm-10pm type jobs I am completely out of their league. There's no contest; I'm yawning and ready to throw in the towel at eight or nine, whereas they aren't even eating dinner until eleven. It happens though, and when it does I wake up anyway at the usual time and I try and get a nap if I can.