Hi OP, you are absolutely right to question how many of those responses come from people who have first-hand knowledge of home education. The understanding of home education on this thread is really extremely poor. Specifically, autonomous home education (a.k.a. "unschooling") looks completely different from school. Even many home educators don't fully understand it. Nevertheless, most people who have home educated for any length of time and have mixed with a number of other HE families do recognise it can be successful, for some people at least, even if they themselves wouldn't choose to HE in that way.
My kids are 19 and 12 and have been autonomously home educated as you describe. It can work very well. Many home educating parents work in addition to educating their kids. I don't work, but I know plenty of HE parents who do. It certainly isn't out of the question.
You seem to have made a good start at thinking things through. I'm sure there will be challenges, and not necessarily the challenges you are expecting! But that's okay. You can try it and see how you get on and what solutions you find. In the worst case scenario, if home ed doesn't suit, your children can go to school after a year or two. That's no disaster. Those few years out of school would have given them some wider life experience, an insight into other ways of learning, and an appreciation for whatever school can offer which they weren't getting at home. Not everybody who starts home education continues with it all the way through, but I haven't met anyone who says they regretted trying it. You would, however, want to start your children at school by the beginning of Y10 at the latest. The school system is too inflexible to accommodate children who arrive partway through GCSE preparation. It can be quite awkward even to change from one school to another in Y10 and 11!
Be aware that if your kids want to do GCSEs, as most do, that usually involves quite a lot of time from parents even if you are outsourcing some of it. For example, you may be helping your kids research which subjects and which exam boards to do, finding resources for them, arranging a tutor or two, sorting out exam centres where they can sit the exams, and ferrying them to tutor-led study groups or college classes. All of this is often done separately for each subject! Some people say this is by far the most time-consuming and difficult part of home education. However, by then you'll have had a few years to find your feet, research the options, and network locally to see what's available. As a fallback plan, you might send your children to school or college at that age (some colleges offer some GCSE subjects to 14-16 year olds), after they'd had a good few years at home.
It would be well worth contacting a local home ed group. Your children's experience of HE is likely to be affected by the ease of access to educational and social activities and other HE families. In some areas there may be good public transport so older children can go do things under their own steam, many local families ready to do lift-sharing, and plenty to do. In other areas, it may be that parents have to work considerably harder to prevent their children feeling isolated. If you meet some local home ed families, chatting with the parents of teens will be useful and should give you a wider range of ideas of how home education can look.
I don't have the energy to tackle every one of the many misconceptions from previous posters who don't home educate. I will just ask you, OP: what concerns do you have? I am happy to answer any questions.