Hi,
I hope to encourage you about homeschooling. I'll even share the pitfalls...
Grace and I began homeschooling in 1988 here in the states. It wasn't easy back then...lots of government hurdles and all. However, we persevered...and we are still schooling today..in our 23rd year. In 1988, the arguments from opponents were something like:
1) What about socialization? How will they adapt in the real world when they grow up?
2) How about their education? You can teach them everything they need at home.
3) You're weird!!
Socializing
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In the US, the average number of extracurricular activities that a child is involved with is something like 0.6. For homeschoolers, it's above 5.0 per child. Homeschooling kids connect with just about anyone.
US kids (private and public schools) spend 9 months a year hanging with kids the same age. Consequently, many struggle dealing with younger and older people. Homeschooling kids are able to play with tiny tots as well as engage adults in meaningful conversation.
Education
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We have five children. My two oldest have graduated from college...and they PAID for it themselves...one is even flying for the Air Force. Didn't cost me a penny. They were schooled at home. My 3rd oldest is paying for his college and working at night. The two teens are in high school. The jury is out on them...not sure college if is the right career path...a bit early to tell.
My wife only has a high school education...but she is really, really smart now.

What she couldn't teach, she found other moms/dads who could...and swapped using 'teaching' as coin. I helped with computer related classes.
Weird!!
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Can't argue that point. I'm raising fish in the garage for the sole purpose of 'pooping'...so we can grow tomatoes.

I haven't shared our experiment with human urine and gardening...I'll keep that for another day.
PITFALLS
1. Homeschooling families make less money than the national average. So, if you're into new cars every few years, or nice vacations...don't do it.
2. Loving parents and a 'public' education work very well in many cases. Some parents are emotionally UNable to school their kids...and consequently the children suffer. It's good to ask close friends what they think before you get started. Public education is better than homeschooling some times.
3. The NUMBER ONE reason homeschoolers quit homeschooling is due to DIVORCE. Grace and I know lots of families in church over the decades that thought this would bring them together. It doesn't work that way. We've worked very hard to put our marriage before out children. Sounds a bit selfish but my kids knew early on that I married their mother...not them...and that one day that had to leave home.
Good luck with your decision making in this regard. I hope whatever you decide is real blessing to your family.
Regards,
Chuck