Here's a link to the Ukulele Hunt website and some easy finger picking exercises to get your fingers moving independently. Practise slowly and build up your speed: http://ukulelehunt.com/2013/04/24/ten-arpeggio-exercises-plus-a-song-to-improve-your-fingerpicking-on-ukulele/
And some more fingerpicking patterns and tunes: http://ukulelehunt.com/2010/02/24/fingerpicking-ukulele-lessons/
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