The US and UK school systems are significantly different. (Neither I would deem better)
We have chosen to continue to homeschool our son while living in the UK for many reasons:
1. My son has been homeschooled since he was 7, and he will be going on 14 in the next month.
2. Over the years we have established a routine that works. He knows what is expected and is progressing well.
3. The UK teaches systematically different. My son would have been grade levels ahead of his peers in many subjects, and behind in others. For instance, science and math are generally taught separate and to mastery in the US, while in the UK multiple areas of science or math may be studied in small parts over years.
4. At the high school level students in the UK tend to take select courses which are directly related to the university program they are hoping to get into. The US requires a larger range of subjects throughout high school and into university. My son wants to attend a US university.
Again I will say I find neither better, but rather advantages to both methods.
5. I was truthfully concerned about the increased risk for bullying. Being new, foreign, tall for his age, and interested in many things children his age are not would put a bullseye on his back.
But the biggest reason for me keeping him homeschooled was that is what HE wants. hahaha... This started as a temporary situation while we were looking for a new private school for him and ended up long term.
That being said, homeschooling in the UK is NOT easy.
#1 Homeschooling isn't as popular, and most UK homeschoolers are unschoolers
#2 You can pretty much forget about co-ops, field trips, local places offering homeschool days. (This is what I miss the most)
#3 Finding another family in your area to get together with for educational activities or even play groups might prove to be impossible
#4 The school systems are NOT supportive. This becomes increasing noticeable when you are trying to find a place to sit for exams.
#5 Teaching material is so much harder to obtain. (Forget about having the telephone book sized Rainbow Resource catalog) We actually import everything.
#6 Science material is incredibly expensive and hard to find.
#7 Depending on the area you move the library system might be rubbish. (Wait...THIS is what I miss the most!)
If my son was younger I probably would have at least tried the UK school, but being older, I felt the transition was too great. If you have any specific questions let me know and I will try to answer them.