Parse 1 column into 3 columns using DB2 SQL

Using DB2 for z/OS 10, I'm have a column (ADDRESS3) in a table that contains city, state, and zipcode all in one column. But, the formatting is somewhat "free-form". (see code below)

I can successfully parse the city by taking everything before the comma. Using only DB2 SQL, how would I parse out the state and zipcode?

SELECT ADDRESS3,
       TRIM(SUBSTR(ADDRESS3,1,LOCATE(',', ADDRESS3)-1)) AS CITY
  FROM MYTABLE

ADDRESS3                            CITY         
----------------------------------  -------------
GRANADA HILLS       ,CA 91344       GRANADA HILLS
SIMI VALLEY,  CA 93065              SIMI VALLEY  
BUENA PARK          ,CA 90621       BUENA PARK   
SHERMAN OAKS, CA 91423              SHERMAN OAKS 
GLENDALE            ,CA 91203-2089  GLENDALE     
VENTURA             ,CA 93002       VENTURA      
HAWTHORNE           ,CA 90250       HAWTHORNE    
PASADENA          ,CA 91185-2594    PASADENA     
BEVERLY HILLS       ,CA 90211       BEVERLY HILLS
ARCADIA             ,CA 91007       ARCADIA      
WALNUT CREEK        ,CA 94596       WALNUT CREEK 
INDEPENDANCE        ,CA 93526       INDEPENDANCE 
LOS ANGELES         ,CA 90017       LOS ANGELES  

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Ultimately, I'd like the query results to look like this:

CITY          STATE ZIP
------------- ----- -----
GRANADA HILLS CA    91344
SIMI VALLEY   CA    93065
BUENA PARK    CA    90621
SHERMAN OAKS  CA    91423
GLENDALE      CA    91203
VENTURA       CA    93002
HAWTHORNE     CA    90250
PASADENA      CA    91185
...

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Thanks!