Here are 10 tips from a parent of 2 kids...
1. You can shoot kids anytime. You can even shoot them when they're are crying. Make your photos real. Indoor or outdoor, it doesn't really matter. Let them be themselves. Unless you have good home studio lighting gear, it is rather difficult to emulate a studio shoot.
2. Anticipate the moment and then fire away. They can change their expressions much faster than your camera's fps. So be Kiasu.
3. Keep them interested, engaged and of course make it fun. But don't expect long attention span from these little people. If you can a get decent set of 10-20 shots per session, I think it is quite OK already.
4. Saying "look here...1, 2, 3..." doesn't really work. They understand (it's true!) but will not cooperate.
5. Frame/Crop tight and eliminate all the unnecessary background details.
6. Aim and AF at their eyes. You want sharp and expressive eyes.
7. My kids hate flash, so I try to up ISO and shoot with ambient light.
8. Not just the face; hands, feet, etc make interesting shoots too.
9. Shoot at their eye level.
10. If all else fails, break all the rules above, and there're really none!