I had the exact same problem, well pretty much...
Replaced 3 caps and now the TV's working better than ever, if you haven't chucked it yet and have a soldering iron, have a shot a fixing it.. :)
Just look for slightly bulging caps near where the power lead goes in - it might only be a very slight bulge so have a good look.. Some could be leaking also, that's a definite sign of them being history.
And yes caps do hold charges - they're like batteries - so don't touch their metal components.. I learnt the hard way...