You should only use chains when there is a good covering of ice/snow on the road...so you might use them getting out of your estate, but you would need to take them off once you got to the main (clearish) road.
Somewhat of a risk to the donner/doffer in Ireland where we don't have pull in areas for this purpose.
You also need to put them on the wheels the power goes to...ie in a BMW that would be the rear wheels, whereas most cars it is the front wheels.
Winter tyres are an expensive option.
But you could possibly buy just 2 for the power wheels.
Ideally you would have them on hubs so you could easily put them on and off yourself.
Getting the tyres alone put on and off your own hubs is expensive...worth it if your dealing with these conditions all winter...but that's unlikely.
The disadvantage of leaving snow tyres on for the entire winter in the absence of snow/ice would be fuel efficency and in my experience , wicked static in the car...ie you get a shock every single time you get into or out of the car.
Snow tyres are AMAZINGLY effective in this weather....amazingly.