Wow, its great to keep coming back to find so many messages. It's nice that so many people are interested - on whatever level, I'm always shocked by the amount of people who don't even know that HE is possible.
There are just a few things which occured to me at 3am this morning (lying awake with dd...) which I thought I would mention and then I will reply to what's below
In response to Lil's comments (and in a clamer state of mind ). In HE you don't need to study the subjects as distinct from one another - certainly not in the early stages - and if once your child is older they show no interest in a particular subject, it's a pretty sure bet they won't be making a career from it.
In school you aim to meet certain standards in maths, english, sciences, etc. That's not the case with HE. It's not a matter of "We'll do chemistry for an hour and then we're going to do geography, followed by maths..."
At home kids can spend hours outside and that connection with nature, the earth, the weather, the seasons, teaches them a great deal about life, as well as elements of geography, geology, biology, chemistry, physics...
Simple projects can lead from one subject to the next, without each area of the curriculum being defined in isolation. Learning from life leads to all kinds of possibilities.
Maths, for exaple, can be done through playing board games, helping with shopping and cooking, working out budgets etc. Schools simulate a lot of every day situations to assist with the teaching of maths.
I want my children to have a more balanced curriculum than they would in school, not just academic qualifications. I want them to have time to paint, garden, sew, embroider, make things. I want them to learn to cook and take some responsibility for cleaning and helping to run the house. These kinds of skills will help to prepare them for life far better than just a handful of exams.