Sleeper, Now that I am divorced, I have cut contact w/X. I strongly recommend this. Give it months, years even, to become fully detached from her. You may see her in a different light.
I have been dating. It has been difficult in some ways, but I also feel my world has expanded some and that has been good.
I would suspect that your X would have a hard time getting full custody. Your L could advise, but my guess is that it would not be easy as I am told that courts like to keep continuity for the kids.
I would suggest the book about getting past your break up. Do the exercises in it. You will understand why you got involved w/the X and also how to avoid similar types in the future. You will begin to be able to deal with the idea of abandonment as well.
Learn to be comfortable with yourself and things get easier.
Most important: cut all contact that is not essential.
M: 16 years Bomb 4/07 OW 20s long gone Divorced 11/09 I remarried New Guy Cooperative r w/X regarding D