I have purchased a new Nikon D3100 camera recently and I want to take the best pictures of my kids while they are running, jumping,etc. I am new to photography, but I am very passionate about the photography.
What would be the best picture settings while taking the shots outside in the park and settings while taking the shots inside the house.
Congratulations on the purchase of your new camera.
Unfortuneately, there is no simple answer to your question. You could start out by using "Auto" or Scene Modes or even P for program. The user's manual might be the best place to start since it explains what these modes entail. After that, you are just going to have to shoot and experiment.
Your best bet would be to get a book about photography so that you can get the most out of your camera. I've had mine for a couple of months, and I can tell you that it is a very nice piece of equipment and capable of producing quality photographs that are equal to or better than cameras costing three times the price of the D3100.