My last home in central Florida had LPG gas heat and through the wall and 
window air conditioning.  When we replaced it with a central heat pump, the 
savings were significant and justified the expense of retrofitting the 
central unit.  Some of the savings were from the improved air conditioning, 
but in the winter, the savings were significant and were primarily from 
using the heat pump rather than the gas furnace.  As you might expect, the 
heating and cooling were also more equitably distributed.  The auxiliary 
heating strips would occasionally come on, but never for very long and 
usually only when we had set the thermostat low at night and then raised it 
suddenly in the day.  If the raising of the thermostat were done gradually 
as the day commenced, the auxiliary heat strips never came on.  I suspect 
the temperatures in your locale, central/southern California are more like 
our Florida temperatures than say Alberta's.
Ron Denis 

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