Just power through it. As time goes by the mornings will get easier. I know it's hard to believe, but they will. And as you make more and more independent decisions about how to move your life forward, you will start to think "that's something I could never have done while we were together" and it will become easier to remember the things you didn't love about the relationship.
For what it's worth, he's still the first thought I have in the mornings, but I don't cry unless circumstances combine to be overwhelming. It's more like resigned sadness and missing him, a hole in my heart that I can feel but that doesn't weigh me down like it used to.
Good luck!!!
Me42, H40 D12, S8, S7 A revealed: 7/13 Sep 4/14; Agreed to D 1/15