I replace a power cord on a radio, the conductor ends were looped around terminal screws so I just had to undo the screws and replace the cord. I just made sure the larger blade of the plug matched the old connection. I purchase my cord with plug at home depot.
The hardest thing is how to take it apart, you may want to do as this web site does and take pictures with a digital camera or just make a drawing and tape the screws to it.
The cord will most likely be held by a clamp or by a fitted strain-relief device
Have you test the outlet, just to make sure its not it?