Hiya N1ck.
Basically, looking at the three things I mentioned (literacy, numeracy and "knowledge about stuff"):
- I would recommend getting a good synthetic phonics-based program; this is the best way to teach literacy and is also now what UK schools are supposed to be doing. Spelfabet is Australian but works perfectly for UK people too and has lots of British options: try browsing through this page for programs, including options for online tutoring:
www.spelfabet.com.au/phonics-resources/home-programs/
and this one for their own materials.
www.spelfabet.com.au/materials/
Everything recommended on Spelfabet is properly based on evidence-based methods. There are also some (quality) free/reasonably-priced options.
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Maths. I and many homeschoolers like Singapore Math and Saxon Math; not British (they are actually US options which are closely based on the Singaporean maths curriculum) but will give a child an excellent solid start in maths regardless of what school system they enter long-term. Try the Preschool/Kindergarten textbooks and workbooks to start (preschool/kindergarten is for 4-6yos in the US). If you do want a specifically British maths option, I don't have any suggestions, but perhaps other posters will have some.
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For knowledge in general (history, geography, science, comparative religion), I do not really know of any actual textbook options for 4-7yos. My recommendation is to get lots of colorful and exciting children's reference/non-fiction books plus maps, a globe and a history timeline, and just start looking at things together and talking about them. Usborne has tons of great books--take a look on Amazon and your local bookshops.
If you want a rough idea for how to divide your time up, you could consider as a rough guide: maths/literacy in the morning, then lunch, and then one of your knowledge topics (hist, geog or science) in the afternoon.
There is SO much crossover at this age, though! Like, say that today is "science" and you decide to look at some stuff on the insect life cycle (eggs, cocoons, larvae, all that kind of thing). So you might look over some books and talk about the pictures, and watch a little video on YouTube or something to see some footage about this. But then some of the insects you talk about live in the tropical rainforest, so you end up talking about that too and looking at the maps/globe together... bit of geog in there too. So there are no clear dividing lines at this age. The above suggestion about curriculum is more about giving you a bit of structure, so that you don't end up thinking "Oh GOD, what on earth are we going to do today.....?" all the time.
If you are planning on doing this long term, the Galore Park books are for children aged about 8 and above and cover history, science and English. They are British books which are used mainly by private primary schools and homeschoolers/supplementary schoolers, so they are UK-oriented but have a rather higher level of rigor and challenge than the typical UK primary school. They are well-written and easy to teach.
Take a look at the Well Trained Mind forums for more ideas, although these are somewhat American in their orientation.
The program you mention sounds expensive to me if it does not include any online tutoring! I would be inclined to put my own program together based roughly on the above, and save my money for some quality online tutoring in literacy and maths once my child is six or so. Or, you may have some decent face-to-face tutoring options where you live in China, in which case you could start a little tutoring earlier.
Good luck and have fun!