The picking pattern is usually just picking the root of the chord
And then the top 2 strings, like this:

G
e|-----0-----0-----0-----0--|
B|-----1-----1-----1-----1--|
G|--------------------------|
D|--------------------------|
A|--3-----3-----3-----3-----|
E|--------------------------|

And then i think it switches to picking the top three strings
On the first F chord and continues like that.

All chords are relative to the capo on the first fret.

[Chords]:
G7+ - x32000
G - x32010
Cm - xx0231
C - 320033
Gm - x02210
Gb - 466544
F - xx3211
Fm - xx3111
F* - 133211
C* - 355433
Gm - 022000
G7+ G G7+ G
I Cmnever thought I'd say it
But it's Chard to hate the rain in CaliGfornia
The Cmair is cold and blurry
As it Cpresses the pine needles to your Gcar
CmTumbleweeds roll through the shopping Cmalls
And parking lots of superGmmarkets  F#  
FEveryone is inside
Watching Fmmovies on their TVs
Staying Gwarm
The Cmstreet outside is flashing
UnderCneath infrequent bursts of glaring Gheadlights
CmMoving like a glacier
Or Ccareening like a drunkard towards the Gtrees
CmFlick my shitty lighter and pull Csmoke
From the one-hitter on the Gmdoorstep  F#  
FBlow into the fog and listen Fmto
The paradiddles on the Glеaves
FWhen it's gone thе air will Gclear
And we'll have Gmso much more to Csee
FThe stores will be filled up with
GPeople trying to Gmbuy their groceCries
For Cmnow I'm standing in the moonlight
CWondering when will this all be Gover
I'm Cmwondering if it really doesn't Cmatter
What I Do or what I Gsay
I'm Cmwondering if the neighborhood coCyotes
Found a good place to take Gmcover  F#  
And Fif it's gonna be another Fmfourteen months
Before it really Grains
FWhen it's gone thе air will Gclear
And we'll have Gmso much more to Csee
FThe construction will conGtinue
And the Gmpower tools will Cscreech
And Fcars will cram the Cstreet
And [F*]that's just fine with [C*]me
'Cause GI will Gmstay with Cmyou
Not Do a single Gthing
All Gmday with Cmyou
And hunker down afGter the
GmStorm is Cmthrough
CmPerfect lazy days
Where all you Fmneed is me
And all I need is Gyou
CmPerfect chatty days
Where all you Fmneed is me
And all I need is Gyou
CmPerfect rainy days
Where all you Fmneed is me
And all I need is Gyou Gm  
CmPerfect lazy days
Where all you Cneed is me
And all I need is G7+you   G 
G7+You   G