The cost of installing three-phase seems to depend mostly on how close and convenient the source is. My present home gets single phase tapped from three-phase wires on poles outside. 3-phase is close to the house, an easy fit, and I guess it would be fairly cheap.
When I lived in a city suburb, much more difficult. Getting three-phase involved digging a long trench, and trenches are expensive. Seriously expensive if they have to cross or run along a main road.
Single phase can be pricey too, if you can't share the infrastructure with other nearby properties. My mum's hairdresser and husband have been working for about 5 years on a part barn conversion/new build just outside a village. Quote for connecting electricity this year: £14,000.
VFDs are the best solution for most of us.
Dave