Maths and English (assuming you are in an anglophone country) are important because you need them for other things. You can make them fun and not involve too much study. Reading for pleasure, maths fro and of games, all sorts of things. You need far fewer hours of studying to learn the same amount so do not aim for school like hours.
Encourage self-discipline and motivation. This really pays off in the long term. Have confidence and feel your way. You need to spend a lot of time with them, not teaching but guiding, encouraging, and knowing where they are. I am also love conversational learning.
Until they need to study for exams avoid a fixed curriculum. Do lots of hands on stuff. We made circuits and soldered things, had lots of hobbies and activities. One of my favourite stories is that a senior electronic engineer worried about whether universities neglected practical skills asked a room full of junior ones when they first held a soldering iron and my daughters answer of at the age of eight startled everyone.
Its a bit easier in the UK because home educated kids can sit the same exams as everyone else at 16 (which is the end of compulsory school here). My kids then went to a sixth form college to do A levels. You need to think about paths to qualifications and university. As they get older courses tutors and exams can get expensive but a lot cheaper than a fee paying school.
One question: how did you find tutors and were they meeting physically or also online? And what subjects did you find needing tutoring?
For GCSEs/IGCSEs (UK exams schools do at 16) English literature for older one. English language and literature for younger one. Its a hard subject to mark for exam prep. Close friend who was a teacher and briefly home educated her daughter for health reasons. Also classical civilisation for which I found a tutor through recommendations. A lot of teachers make bad tutors because they find it hard to switch from classroom teaching.
Enthusiastic subject specialists are great for older kids. Both our tutors went to Oxford - and my younger daughter starts her degree there in next month.
I did not mean to imply you were looking for shortcuts or to avoid interactions, but wanted to emphasise the importance. The extra time with your kids in incredibly rewarding too.
I have some blog posts on the subject. This might be of interest https://pietersz.co.uk/2021/01/there-is-no-home-education and some posts here: https://pietersz.co.uk/category/life/parenting
(although, to be fair, it was a different time. AI would have surely made it much better)
Home schooling sounds good in paper, but as much as school can suck, it is also an irreplaceable opportunity to learn to socialize, which is a much more valluable skill than knowing pre-university curriculum.
My schooling was alright but I can imagine a much better version given different circumstances.