Typically one doesn't need to eat immediately after they wake up, your body keeps blood sugar at a certain level for a while after rising. You can exercise this way for a short time and it may be more comfortable than riding on a full stomach.
If you don't have time to sit and eat the meal, cook your breakfast the night before, toss it in and ride to work.
Try to keep breakfast sugars low and to avoid a sugar spike at work after, eat mostly things like eggs, oatmeal, milk. No fruit juices, eat the fruit instead - the fruit's fiber buffers the sugar absorption.
Oatmeal is the breakfast of champions.