I had a problem like this at first, but I started setting my alarm later to where I clipped off the last hour or two of my normal sleep routine and started being more active for about an hour before going back to sleep. It's a great time to put a load of laundry in the washer and prepare for the day ahead

Oh, you might also want to try getting an old school alarm clock that is loud as hell and putting it away from your bed so you have to physically walk over to it to turn it off... you could also put a light/lamp on a timer for more motivation to get going when you're still tired.