You don't mention if you are using flash or not when you get the blurry pictures. Does this happen under low light conditiions? If so, the shutter speed may be too slow for the lighting conditions. If you are not using a tripod, try using one or at least set the camera on a very stable item such as a table and take some pictures. If the pictures are clearer, than you know the problem is the slow shutter speed. This applies to using the Easy Mode.
There is also a "Hanndheld NightScene" and "Low Light" scene smodes on your camera. Have you used these modes to get your night shots? Make sure you hold the camera steady until the camera has finished taking he shot as it will take 3 shots to combine into one shot (handheld NightScene).
