Yes, the "Leave me alone! Don't go!" cry is common unfortunately

I'm glad you are going to get help. You didn't mention the ages of your children, but if they are old enough to know there's something wrong with mommy, then it would be good to say you are going to work on feeling better...to let them know and have hope too

What kind of doctor will you be seeing, is it for talk therapy or medicine? IMO you might need both to help pull you up to a more functional level.
I hope the doctors get it right this time, and you won't have many more psych ward situations in the future.