Everyone copes in different ways. I have been in this situation & also have children, but I feel I made the right decision for all concerned ~ therefore although I felt a degree of sadness, and it will be something I never forget (although not something I think about every day) It wasn't too traumatic.
I had excellent before & after care, and felt safe in the knowledge that I had made the decision on my own. It is hard to live with, it is far from easy & a taboo subject, it is also far too easy to feel alone. Counselling is available to you ~ but please be assured that even though you may feel incredibly emotional about it afterwards, it doesn't mean you made the wrong decision.
Physical recovery is usually quite quick (you may need a couple of days to feel 'normal' after the anaesthetic) and blood loss should be like a normal period..maybe a little longer.
Good luck in whatever you decide to do ~ I feel for you, truly. xxx