I fingerpick more than play electric - the secret is to build up slowly as its a reflex action like alternating pick picking rather than a 'skill'. I would resist fingerpicks at first and only use a thumb pick when you have right hand damping down pat with your bare thumb.
This exercise helps with developing alternating bass - hold a open G chord (fingerpickers - style i.e. with your third finger fretting the third fret of the bottom E string) - now release your other two fingers and whilst playing the E and D strings with you thumb on the beat, play the G minor pentatonic scale starting on the open G string with your fingers - first as pinches with the beat and then off beat as 8th notes. When you have that automatic, extend to a G major scale, then a G natural minor and then the mixolydian.... etc. Also try to play the scale as 8th notes, swing 8ths and 16th notes. Obviously a metronome helps to get the beat right.
Also don't worry too much about incorporating the third finger in finger picking - if you can so much the better - someone like John Renbourn does, but the blues finger pickers almost never did.
Stefan Grossman's DVDs are great for learning this style btw - even if you don't like country blues guitar.
