Congratulations on day 1! Be sure not to skimp on your carbs, your body does need them, and that's where your fiber comes from
Speaking of which, you are taking a fiber suppliment and a multi-vitamin, yes?
As for the kids, I don't see why they shouldn't do it. If their weight is within normal range I'd add more healthy carbs for them, things like whole grains, carby veggies and some fruit. Atkins is essentially a healthy way to eat, and Lord knows it wouldn't hurt to cut out processed foods and other junk. Look at the maintenance phase for what to eat if you're at a healthy weight. It will be easier all around if you don't have to cook two seperate meals, and be a nice bonding\team effort thing with the girls, so I say let them go for it
Good luck to you, and welcome!
Tenn