If they're going to be viewed on a computer or TV screen, the max resolution of a HDTV picture is 1080 horizontal lines, which would roughly correspond to 1080 vertical pixels. Resize them as if you were intending them to be viewed on a good computer monitor and you'll be ok. Probably anything above 800x800 pixels will look just fine, but to be safe, bump it to 1000 or 1200.
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