Hi hubble.
There's not a lot of difference between the two binoculars. The 20x80 has more magnification and a larger aperture for more light gathering. Both are too heavy to be hand-held effectively, so you'll really need a tripod to use them properly.
If you have any more questions about them or binoculars in general, I'd suggest asking in the Equipment forums so you can get more detailed answers.
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