First off, fingerpicking is when your not using a pick to play your guitar, and instead you use your fingers, mostly your thumb, index, and middle fingers(all at the same time). Now here's and example:
|-----|
|-2---|
|-2---|
|-----|
|-----|
|-2---|
Here you would use your thumb to play low E, your index finger for G, and you middle finger for B. Once you feel comfortable playing this chord, try playing this simple rhythm:
|-------------------|
|-2---2---2---2-----|
|-2---2---2---2-----|
|-------------------|
|-------------------|
|---2---2---2---2---|
You can also try a simple scale with fingerpicking:
Use your thumb and index finger
|-3--5--7--8--10--12--14--15--|
|-----------------------------|
|-----------------------------|
|-----------------------------|
|-----------------------------|
|-3--5--7--8--10--12--14--15--|
|--------------------|-----------------------------|
|--------------------|--------2h3p2----5-----5--2--|
|--------------------|-----2--------2--4-----4--2--|
|--------------------|-----------------------------|
|--------------------|--0--------------------------|
|----------------0h2-|-----------------4--4-----2--|
F#m A(onE) D(onF#) E7sus4E7
-------------------------|-------------------------|
-------2-----2-----2-----|--3-----3-----3-----3----|
-------2-----2-----2-----|--2-----2-----2-----1----|
-------------------------|-------------------------|
-------------------------|-------------------------|
----2-----2--0--0-----0--|--2--2-----2--0--0--0----|
A
------------------------|
--2-----2-----2-----2---|
--2-----2-----2-----2---|
------------------------|
--0--0-----0--0--0--0---|
------------------------|
Finger picking is good! Try finger picking NOW!