My worst time of day usually switches around, either morning or late night.
When it's morning, it helps me to have a sort of loose ritual I do upon waking. I've had the problem with anxiety and negative thinking if I stay in bed, too. Try to make yourself get out of bed sooner, or at least sit up and start getting awake and less in your thoughts. I've also sometimes used mantras. When it's really bad, it helps me to visualize getting back to bed that night having made it through the day, knowing that no matter what happens throughout the day I'll live through it and be back there that night.