I think you have identified two problems for yourself.
One is getting stressed in the mornings.
Two your guilt on losing your temper.
The first one is telling you that you may be getting a bit of burn out. It may be the solution is to rethink your morning schedule, or prepare more the night before. Or you may need to work on having more ‘me’ time or more fun or relaxing things to bring down your stress levels overall.
Secondly, your fathers bad temper may be triggering your guilt when you lose your temper. I didn’t often lose my temper with my child, but on a few occasions when I did I felt justified and felt it reminded them I was human too.
So I’d suggest have a think on that. Can you imagine a situation where you could lose your temper and feel ok about it? Or would you always feel bad? If so that could be because of your father.
Are the children old enough for you to ask how they feel about it when you get cross and shouty? My Dd told her it upset her at the time but she could see when I had justification with it (This was a conversation that I had with her when she was an adult).
It may be that you walked on eggshells as a child and quaked with fear everytime you father ranted. It may be a very different experience for them. Can you ask them when things have calmed down?