This is not how the actual song goes but it is my acoustic version and is very 
easy! Personally, I think it also sounds very good :]
Note: These chord progressions repeat through out the song. Srry for being too 
lazy to write it all.

*Capo on 3rd fret

Intro: G, Em, Am, C

G (320003@1)           Em (022000@1)   G (320003@1)          Em (022000@1)             C (x32010@1)      
Hello Seattle I am a Mountaineer, in the hills and highlands 
I fall asleep in hospital parking lots, and awake in your house,
Hello Seattle I am a manta ray, deep beneath the blue waves 
I'll crawl the sandy bottom of Puget Sound and construct a summer home
Hello Seattle I am the Crescent moon, shining down, on your face
I will disguise myself as a sleeping pill, and descend inside you
Hello Seattle I am a cold seahorse, feeling warm in your sand
I sing about the tide and the ocean surf, rolling in, the evening breeze

G (emphasis on the G), Em, G, Em, C

G (320003@1)           Em (022000@1)    G (320003@1)           Em (022000@1)       CHello (x32010@1)Seattle I am an albatross, on the docks, and your boats
I sail above your inlets and interstates, through the rain and open wind,
Hello Seattle I am an Old Lighthouse, throwing beams, of bright lights 
Red in the morning Blue in the evening sun, taking heed from everyone
Hello Seattle I am a Mountaineer, in the hills, and highlands
G (320003@1)              Em (022000@1)           G (320003@1)     CI (x32010@1)fall asleep in Hospital parking lots...

G (320003@1)       EmTake (022000@1)me above your light
         C (x32010@1)         AmCarry (x02210@1)me through the night
        G (320003@1)       EmHold (022000@1)me secure in flight
           C (x32010@1)     Am (x02210@1)Sing me to sleep tonight

Take me above your light 
Carry me through the night
Hold me secure in flight 
Sing me to sleep tonight