Phasing out gas heating is going to be a very, very big job in the Netherlands. Replacing an energy source is easy, just place a nuclear power plant / solar field down and phase out the coal power station. Done.
However, almost all homes in the Netherlands are heated by gas directly from the source. The gas is used to heat up water in the home and pump it through radiators on the wall or in the floor. A highly efficient system. But we can't import the gas from other countries because of the calorific properties so we need to pump our own gas. Switching to electric systems in the home will double the cost for most home owners because it's not very efficient and electricity is expensive (though the government can lower taxes on it). It also means that home owners will have to convert their current system in the home and pay the price for this. But it should be a plug and play option.
An ever bigger project is switching to government provided hot water heating. That means that you have to dig up every single street in the country, get rid of all existing infrastructure (fiber, coax, power, gas, water, sewer), lay down a big water pipe in the middle, put the existing infrastructure back and repave the street. Have the hot water enter every home, redo the plumbing of the home and change the water systems. The downside to this is that instead of heating the home with 70 degrees water like we do now, it will only be around 50 degrees. You can't heat a home in the winter like that so you also need to isolate every home. And you are tied to a single provider for your heating, unlike the current system where you can occasionally switch energy provider to get a better price. People I know with this system pay more than I do with gas.
The second system is a gigantic job but somewhat cheaper overall and highly efficient. The only problem is heating the water in a central location. Near an industrial zone you can use waste water from cooling systems but if nothing is around you need a lot of electricity. Or geothermal. They are still trying to find a good way to do this.