Pictures come out blurry if any movement
The most likely culprit is a slow shutter speed. If the subject moves while the picture is being taken, you'll see it blur. If non-moving objects show up sharp while the moving objects are blurred, then this is definitely it.
Another possibility is camera movement. Try putting the camera on a tripod or a table or other steady support, then use the self-timer to take a picture. If everything in the picture is blurry, then this is probably the reason.
The third possibility is that the camera isn't focused on the subject. Try taking a picture of the subject when it isn't moving and see what happens.