$0.15-$0.20 is extremely cheap for PG&E. Are you grandfathered into a low rate plan?

Heat pumps are 3-4 times as energy efficient as a gas furnace. However, PG&E charges 7-8x as much per kWh of energy in electricity form as it does in fossil gas form.

When you have your own solar and storage, it can be as cheap as $0.04-$0.07 for the solar. And depending on the storage vendor these days, it can be anywhere $0.05-$0.15 per kWh that gets stored and discharged. At those rates, it can be cheaper than gas.