Few things that you might try to improve your morning state (with no regard to when you wake up)
1. Use a Sleep Cycle app (or similar) to find the right moment to wake up. Sometimes it is better to wake up 30 minutes earlier… But more importantly — it allows you to track effect of different sleep/pre-sleep conditions on your mornings.
2. Drink water, do light exercise, take cold shower. (This helps to wake up)
3. Reduce intake of caffeine throughout the day — drink coffee/black tea only in the morning. This would work only after some time, not initially.
4. Take a power nap (20 minutes). You’ll feel better after it. (There’s an app for that too…)
P.S. Few more things:
a. If you wake up when sun is out — expose yourself to sunlight. This will reduce your melatonin level and will help you to wake up.
b. When you go to bed, spend a few minutes visualising yourself waking up well rested and energetic. This’ll help to program your mind to have a good night rest.