I'm the same way.
I have simply made peace with the fact that I just am a slow starter in the morning, and try to take advantage of natural times of production. It takes 30 minutes to 2 hours for me to "wake" properly, so I just do stuff that doesn't take much thought when I can. Instead of overcoming it, I just made peace with it and do things to help it not be such a drag.
The first 20 minutes of a too-early waking might be groggy enough that I can't manage to shower yet (I get 'sleep drunkenness' occasionally). I give myself extra time to get ready. I know certain activities take longer in the morning. If possible, I schedule low-energy activities for the morning.
Sleep maintenance seems to help me physically wake, but not with the slow start. Coffee doesn't seem to do much either way, but I do drink it. Exercise first thing in the morning? Forget it. It feels harder then.
On the other hand, I get this wonderful uptick when some others are starting to tune out, so there is that.