Adults can already move across the continent and work and speak English - why not children?
Right now, its basically impossible to move across the continent with a family - you will need to send your children to expensive international schools.
This is definitely one of the factors why the fertility rate in Europe is so low.
For example in Bulgaria, international schooling in English in high school is about $12,000/year/child - more than the average annual salary!
This is one of the major reasons the Anglosphere countries are such major migrant destinations - completely free Government education in English.