Good idea putting all the vids on the card, should work fine for you.
You access the shuffle option from the Menu "M" button but only whilst a track is playing.
So you start playing a track, press the "M" button,
a menu pops up, then select play mode, then select shuffle, from then on the setting will be be saved until you select play mode again and change it back to ordered.
You can also sort by artist, album and genre and add tracks to a favourite list.
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