Flash When i take a picture in the house it comes out as white screen. Also a lot of my pictures are blurred

First the camera has a flash to allow for darker areas to be illuminated to capture pictures. The type of camera may bot allow to capture outdoor pictures with the camera flash on. Power off the flash when outdoors to capture daylight pictures.

Hand shake means shutter speed is too low to avoid blurred picture(due to low light)
Either increase lighting or
Use flash and turn it on or use higher ISO setting or
Use lowest aperture number.
Last when there is nothing moving in the frame you can use tripod at any P.A.S settings in any lighting

Turn on your flash! Even in good lighting, shoot with the flash on. This will make your exposure shorter, and there will be less opportunity for movement of the camera or the subject to blur the photo.

There are many parts damage cause the same problem.
No picture but you still see the video very blur on the screen. To find it, use flash light point to the screen you will see the picture there. Problem comes from the inverter board.
NO picture, no back light-stand by Led is on. Problem from the Power Suppy or from the Timing Controller.
The main board causes the same problem.
The worse case, the panel is dead.

Camera being taken to Jessops to find out what has gone wrong

This is the camera shake warning, and thus the blur. It is suggesting you are using too slow of a shutter speed for the lighting conditions. The flash should be set to "auto" in order that it will automatically fire if the light is insufficient. Check your flash settings to make sure it's not set to "slow-sync" or "fill-in" settings.

model number of the camera please

Robert

If you are not using canon lenses then the low light focusing aid will not work correctly. Go into the menu and turn of the flash infra red light

try putting on the flash because whenever my flash is off the pictures are all blurred and with the flash it is clear! hope it works!!!

First, try to get more light, particularly natural light (window); second, try using shutter priority (S mode), setting the shutter speed at not less than 1/50, faster if you are shooting motion/action (check the Properties of the blurred pictures that you've been getting in Camedia software - the shutter speeds are probably too slow because of the low light), and experiment with higher ISO settings (either 200 or Auto, not 400) though there's a trade-off in noise levels.