I read this thread days ago and had all the same thoughts as Viridian, just didn't feel comfortable saying do it yourself without experience, But now that he has said it....
open the case, take pictures of the wiring for reference, look at and measure the physical size of the caps. Get the value of the caps... i.e. 10,000mfd 50v etc.
If you can replace these caps, any good cap with the same MFD rating or higher AND the same voltage rating or higher(larger the value the better on both) that fits will do a good job.... a 10,000mfd 50v cap runs $5 to $30 USD. As Viridian said, some parts have improved, you should come away with better performance than before the repair.
Good Luck,
Tim