You just described Emotional intelligence, which I gained by practising Yoga, meditation and stoicism. I used to be neurotic and my anxieties ruled me. I didn't get angry often but when I did it was explosive. People were often surprised cause they never thought I could be like that. Three years ago, burnt out, feeling empty and seeking purpose, I quit working and began searching. Trust me when I say that I had no idea what I was searching for. I just needed to search for 'meaning' and purpose. It led me to yoga and meditation and my life began to change. I started to gain Emotional intelligence and better control of my nerves. It was like I was born again. My anger outbursts slowly disappead. I able to observe About a year after I began yoga and meditation, I got a copy of The Daily Stoic by Ryan Holiday and I got even better. After 3 years I went back to work.
I practice yoga and meditation with my kid. It was hard at first, but I tried to make it fun for her. Now she enjoys it. I teach her about Emotional intelligence and read the daily Stoic with her when I can. She loves Epictetus :)