I live in San Diego where the water is at least as foul as LA. The softener system from Chris works just fine for me. I change my cartridge every year even though it is not necessary (the water is still fully softened as determined with test strips).
Most folks use a carbon filter cartridge after whatever softener they run. The carbon removes organics and particulates.
Remember that a softener (as opposed to a reverse osmosis system) only exchanges ions (largely removing calcium that forms scale and replacing it with sodium, or in some cases potassium). The total ionic strength of the water remains the same (therefore a TDS meter that is a conductivity bridge will show essentially no change following softening).
Softened water has remaining minerals and does not taste "flat" liked distilled water. Reverse osmosis water is very low in minerals and many (most?) folks use a calcite filter after the RO to add back some minerals.
Although I originally purchased my softener/filter system from Chris when I bought my Vivaldi, you can assemble a softener/filter system for very little money by purchasing the components at a local dealer. I have used the following for my replacement cartridges:
http://www.wateranywhere.com/ I have never used the new type of systems but am very interested in them.
Good luck,
Mark