I've done home-, school-, and mixed-education, and they all come with expenses. I 100% agree with Saracen that putting in a significant financial cost to an on-going programme is not recommended.
Virtual schools are an expensive option. I would not recommend a virtual school for a 6 year old, even less for one that's neurodivergent. I used one for a year for a teenager for one exam, and they have their uses, but it takes a particular personality I think to make that a large part of the learning. There are a growing number of places that do one-off classes, very mixed in quality, but can be a useful option.
For 6 year olds, I focused on communication & improving literacy and oracy, health and wellbeing, and life skills and knowledge including numeracy and just being out in the world and hands-on art alongside their interests. There are free and low cost resources for most academics at this age depending on current abilities.
what is the difference of home schooling and home education in the UK? Isn't it the same thing?
Yes and no. In common discussion they're used interchangeably though home education is more often used and can be helpful in googling to separate UK from the US resources, but there is at times an important difference.
Elective Home Education is what you are suggesting where the child is not enrolled in any school and the parents have full responsibility. This is very different to Education Otherwise Than At School/EOTAS, occasionally called home schooling, where the child is still on a school's register and the LA is meant to have an obligation in providing resources to school at home, but for usually significant medical reasons and part of their Education, Health, and Care Plan, the child isn't attending school.