OP- massive congratulations for finding the strength to leave a toxic environment.
I've also lost a significant amount of weight over the past couple of years*.
Although I have no idea of how you are feeling emotionally right now; I will say that being in a mentally healthy space will help your journey to fitness exponentially.
If you can find 2x 10 mins, then that is a fantastic start. You will soon find that you are thinking "I've done ten mins, kids are settled, I can do twelve, fifteen, twenty mins". This will happen.
As PP have said, it is better to sort out one thing before moving on to the next challenge. Keep up with the keep-fit and you will soon be in the headspace to accelerate the benefits of exercise with a complimentary eating plan.
ferriswheel , you deserve to give your body lovely food that will heal it and not make it unhealthy. You deserve time for exercise. This is important for you as a person and for your children - they want a happy healthy mum that has respect and love for herself and for them.
*45kg if anyone is interested. Not a humble brag but a demonstration that I've been there, done that and given my XXL t-shirt to the charity shop.