Work out woes

In the eternal quest to lose weight, I am unable to take out 30 minutes during the day to excercise. And the fat thus refuses to go away. So a friend of mine told me to suck it up and just wake up earlier in the morning when the kids are asleep to work out. Isn't that an easy solution?
Day 1:
Alarm rings 30 minutes earlier....(which is 5:00 A.M, mind you)
5 minutes into the routine you hear a voice: "Mama, what are you doing?"
Me: "Excercising Ammar. Go back to bed."
Ammar: "But I want to excercise too! It's morning, that's why you're awake."
Me: "Sigh!"
Five minutes of trying not to bump into a 6 year old who is energetically jumping and flailing his arms about EVERYWHERE, and the toddler walks in!
Five more minutes of desperately trying to workout, while avoiding bumping into a 6 year old, a clingy toddler and his toys, and I resign myself to calling it a day.

Day 2
I decide to get up even EARLIER.
10 minutes into the routine, and the toddler walks in.
Gurgling, crying and baby talk for 5 minutes while trying to continue the routine when you hear a voice.
Ammar: "I saw you awake and excercising before also Mum. Can I join in?"
Five minutes later, I'm shouting at Ammar to go back to bed instead of bumping into me on every aerobic step.
A whole lot of crying ensues from Danial, when I finally give up and try to make up with the older one who was shouted at. Poor fellow.

Day 3:
Danial wakes up before my alarm even goes off.
Work out over before it even started.

How does the rest of the world manage to stay fit with kids???
I'm at the end of my tether! Any suggestions anyone?