My camera has a shake in it and causes the picture on the back to shake and if a pic is taken it is blurred please help because I like this camera and really don't want to buy a new one

Did you try turning the "Super Steady Shot" setting on? Also try using the flash in dark settings... The flash will stop motion and give you a decent image... Let us know if this works... If not then you should probably give Sony a call and see if it is still under Manufacturer warranty... They might fix it or replace it for free (Except shipping costs)...