I like to categorize acoustic guitar picking into two separate groups; flat picking and finger picking. Flat picking, usually done with a plectrum or flat pick, can be used to strum the guitar (rhythm guitar) or single note picking (lead guitar). Not all rhythm players play lead and, believe it or not, not all lead guitar players are good at rhythm guitar.
Finger picking or finger style utilizes the fingers (with or without fingerpicks) to play chords and the melody.
One of the greatest jazz guitarists of all time was Frenchman Django Reinhardt whose flatpicking style of playing has been called gypsy jazz. Having a crippled left hand, the result of a fire which melted portions of his fingers together, Django (the D is silent) nonetheless has inspired countless of guitar players throughout the world as the lead guitarist of the Quintette du Hot Club de France.
Keep it acoustic...