By far the easiest thing to do is buy a new Power Supply Board, $50ish on eBay have it shipped here and usually an easy install, much easier than desoldering old caps and putting in new ones, having said that, once you have the new board installed you could usefully then try to fix the old one with new caps as it is quite cheap, then you have a spare for the next power surge. Beware, most of the larger capacitors are "Electrolitic" and MUST be installed the right way round, smaller ones might not matter, but look for the +++++ symbols printed down the sides and solder the new ones in the same way.
Having said all that, your problem does not sound like capacitors anyway, but almost certainly the PSU board will need replacing and should fix it. I personally would not use the Dominican fixers, they tend to just replace components with others from scrap boards that look kind of similar, this often works - for a while, then something further down the line blows because a voltage is out of spec, and guess what? y0ou now have to pay him to fix it again!!
Good Luck