It's possible all you need is the motivation and support. When they go to sleep or super early in the morning. How old are they? Would be glad to give you some tips and tricks that would work for a busy mommy's lifestyle.
I have two girls of the age of 9 &10. I home school them. And I'm also a truck driver. So I'm always on the go with them. And it's not easy. But I have manage to make a time to workout. Set a time. Where your kids are either sleeping or doing something. A time that you can take to dedicate it to yourself. Stick to that time and you will see it will just come into a routine.