how to take picture of kids

Sure, kids are cute in real life. But when it comes to capturing them with your digital point-and-shoot camera, they can be a big problem.
difficult shooting kids usually created by a phenomenon called shutter lag: the response time from the moment you push the shutter button to when the picture is actually captured is too long, sometimes as long as a second. your kids are keep moving while you camera stil processing it.

there are some alternative to solve this problem
first, Choosing a DSLR Camera
digital SLR (DSLR), has a much faster response time and performs better overall. DSLRs look and behave just like your favorite 35mm single lens reflex (SLR) cameras of years past, but they have a sophisticated image sensor instead of film.
DSLRs have minimal shutter lag times, allow for generous sequential shooting, accept a variety of lenses, and enable you to use external flash. In other words, they are perfect for action, er, kid photography. and of course, it is more expensive and heavier than point and shoot camera.

second, still using Point-and-Shoot Camera
here are some tips to get better result.

First, get everyone outdoors, where there's more light, better backgrounds, and lots of things for kids to do. Then, make these three adjustments on your camera:
Set for the highest resolution your camera allows.
This enables you to later crop out part of the picture, yet still have enough pixel information to make a good-sized print. It's like adding a powerful telephoto lens to your little point and shoot.

Find Infinity Focus mode and activate it.

Essentially, this disables the autofocus (which is slow as mud on most consumer digicams) and lets you capture perfectly focused images from about eight feet to infinity. By doing so, you've just shortened the length of time from when you push the shutter button to when the image is recorded. This also allows you to hang back a few feet, so you're not spending all your energy chasing kids around instead of photographing them.

Enable Continuous Shooting mode.

Instead of taking a bunch of single shots and missing the action, Continuous Shooting mode lets you hold down the shutter button and fire a series of frames. The knack to this is starting the sequence right before the decisive moment and shooting through it. Then, review your pictures on the LCD screen, remove the obvious misses, and keep the winners.

Here are a few other things to keep in mind. Arrange your shoots for the time of day that your children feel the best. Remember to get down low, at their level, for the most intimate photographs. If you can engage them in an activity, such as playing with their favorite toy, you will get more natural expressions and fewer posed-looking shots.