The bridge is the trickiest part of the song. After the third "ring them bells" the bass 
line goes down stepwise from Ab   G   F#  F   E

PLEASE RATE

True chords for Piano

Bm (x24432@1)                                Em (022000@1)      BmRing (x24432@1)them bells ye heathen from the city that dreams
Bm (x24432@1)                                           F#mRing (244222@1)them bells from the sanctuaries cross the valleys and streams
Em (022000@1)                         BmFor (x24432@1)they're deep and they're wide
Abm7                 EmAnd (022000@1)the world on its side
Bm (x24432@1)                EmAnd (022000@1)time is running backwards
F#m (244222@1)         BmAnd (x24432@1)so is the bride.

Bm (x24432@1)                                   Em (022000@1)      BmRing (x24432@1)them bells Saint Peter where the four winds blow
Bm (x24432@1)                                    F#mRing (244222@1)them bells with an ironhand so the people will know
Em (022000@1)               BmFor (x24432@1)it's rush hour now
Abm7			EmOn (022000@1)the wheel and the plow
Bm (x24432@1)                 Em (022000@1)          F#m (244222@1)  BmAnd (x24432@1)the sun is going down upon the sacred cow.

Instrumental Solo

(Same progression as above)
Bm (x24432@1) Em (022000@1) Bm (x24432@1) Bm (x24432@1) F#m (244222@1) Em (022000@1) Bm (x24432@1) Abm7   Em (022000@1) Bm (x24432@1) Em (022000@1) F#m (244222@1) Bm (x24432@1)Bm (x24432@1)                                 Em (022000@1)      BmRing (x24432@1)them bells Sweet martha for the poor man's son
Bm (x24432@1)                                        F#mRing (244222@1)them bells so the world will know that God is one
Em (022000@1)                 BmOh (x24432@1)the shepherd is asleep
Abm7			EmWhere (022000@1)the willows weep
        Bm (x24432@1)          Em (022000@1)        F#m (244222@1) BmAnd (x24432@1)the mountains are filled with lost sheep

Bridge:
             Abm (133111@4)	BmRing (x24432@1)them bells for the blind and the deaf
             Abm (133111@4)	BmRing (x24432@1)them bells for all of us who are left
             Abm (133111@4)             Gaug[G BEb] (x2444x@1)Ring them bells for the chosen few
                   B (x2444x@1)               Abm7/F
Who will judge the many when the game is through
Em (022000@1)                              BmRing (x24432@1)them bells for the time that flies
                   EmFor (022000@1)the child that cries
                   F#mWhen (244222@1)the innocence dies.

Bm (x24432@1)                                     Em (022000@1)      BmRing (x24432@1)them bells Saint Catherine from the top of the room
Bm (x24432@1)                                F#mRing (244222@1)them from the fortress for the lilies that bloom
Em (022000@1)             Bm (x24432@1)         Abm7        EmOh (022000@1)the lines are long and the fighting is strong
            Bm (x24432@1)              Em (022000@1)             F#m (244222@1)     BmAnd (x24432@1)they're breaking down the distance between right and wrong.

Instrumental Solo
(Same progression)
Bm (x24432@1) Em (022000@1) Bm (x24432@1) Bm (x24432@1) F#m (244222@1) Em (022000@1) Bm (x24432@1) Abm7   Em (022000@1) Bm (x24432@1) Em (022000@1) F#m (244222@1) Bm