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OpenGL Question about Premultiplied Alphas

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[ Language C++ ]

Ive been scouring google for the info I need to solve this problem I,m having involving glBlendFunc. I can't get my 2d images to show up correctly.
They're always half transparent or don't remove the black pixels, and overlap incorrectly. I found a potential solution involving Premultiplied Alphas. But I don't know how
they work or how to apply them. Do I apply it in an image editor like Gimp? Though the texture loading process? Or though OpenGL commands perhaps?
If I have to apply it to images, what format should I use? I have been using PNG's with black background for transparency.

If anyone could tell me how it works that would be mighty nice of ya.

Edit: The title said "Predefined" Alphas, when it should have been "Premultiplied". xD

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