Heres my take.
Public school: There are hard classes, but if you just take the standard courses for your grade, they are simple. I reccomend taking honors + AP classes. Public school has a tendency to be a bit more "Ghetto", because the majority of the people in private schools have a decent bit of money, and don't dress with their pants around their ass cheeks, since there are no uniforms. Public is basically laid-back, and less guidelines. You can still learn if you apply yourself, most schools go up/past Calculus in math, Chemistry-I'm wrong on that- in science, and it can be a challenge if you choose. The majority of these people acting like public school is a bad place, it's really not. It depends on where you live. My school is pretty chill, really no fights, no guns, knifes, bullying, etc. It's nice.
Private school: Much higher rate of learning. You are expected to learn more. The price is higher, but it's worth it for the resources. Public schools don't have nice labs/fitness centers like the majority of private schools. It's a much nicer atmosphere, etc. Generally, a better place for education, and since the majority of the people there re-apply each year, you can make long-term friends, while at public school people aren't-don't feel- obligated to come back year after year. Majority of the people you meet in public schools will move/attend a different school in a few years. Also, probably much less drama. You never know which gangster-hoochie will have a new "Baby daddy" this month. Pregnancies rarely happen, though. I've only seen two pregnant girls, one was raped, and one had the boyfriend for.. 2+ years. (The raped one was in a different state when it happened)
Honestly, it makes no difference, if you are used to private, stick to it, if you have friends/know your community isn't horrible and dangerous, go to public.
Have fun wherever you decide going.
If private schools were as good as public schools they wouldn't cost more money.
In response to that:
Why would an inferior school cost MORE to attend? It is more expensive because they tend to be generally better schools.
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