Max, as Bizman posted, most times it is a capacitor being popped or such..
I replaced 2 of them in my sister's Sony LCD 55 incher... It only cost me roughly $18.00 and about an hour or so from taking the back of and using my uei meter that has a capacitance checker on it...
Finding the bad components, reading the type/model # and ohms etc... So you can either go to radioshack or local electronics/electrical supply house or if needed, I've used Amazon before to get parts... You need to be very proficient in ability to solder in small confined areas...
As for possibly getting a new LCD tv... A new 2013 or 2014 model will most likely be leaps and bounds beyond that 2006 model... My Samsung smart tv and 3D BluRay system is 2 yrs old and makes my parents '05 LG LCD tv seem ancient.... Just saying...
Best of luck, which ever way you decide to go.... Also, don't junk or get rid of your old one if you decide to buy a new one... Try to fix it and keep it or sell it to recoup some of your money..
TC