Quick answer
For most homes in Greater Los Angeles, a heat pump is a strong option because winters rarely get cold enough to reduce its efficiency. A gas furnace can still make sense if the existing furnace and AC are fairly new, if the electrical service is limited, or if you prefer a dual-fuel setup. The best choice comes from your home's load, your utility rates, and your equipment's age.
How each system works
A gas furnace burns natural gas and blows the heated air through your ducts. It needs a separate air conditioner for cooling.
A heat pump is an air conditioner that can run in reverse. In winter it pulls heat from outdoor air and moves it inside. Because it moves heat rather than creating it, it can deliver more heat energy than the electricity it uses.
Comfort differences
Furnaces deliver very warm air in short bursts. Variable-speed heat pumps deliver milder air for longer periods, which many people find more even and quieter. Heat pumps also remove the gas combustion appliance from the home.
Things to check before switching
Electrical capacity: older homes with 100-amp panels may need a load review. Ducts: a heat pump works best with sealed, properly sized ducts. Incentives: federal tax credits and California programs such as TECH Clean California have funding rules and eligibility requirements that change, so confirm current terms before you decide.

