Hi, welcome, it's nice to meet you!
Homeschooling has so many awesome advantages that public and private schooling don't.
You get to do your school at your own pace. Which means that many days, school might only take two hours!! Then the rest of the day is open for you to do whatever you want.
You don't have to compare yourself to others. You just go with your own flow of learning and don't need to worry about whether it's as good as your friends'.
You can explore more of your own interests! Your schooling can revolve around your favorite things, which makes it so much more fun!
You can do a lot more random stuff that you just plain want to do. Like a field trip every single week!
Did I mention all of the freedom? ;P
Some drawbacks are that you might find it harder to make new friends and meet up with them, but there are all sorts of homeschool groups and co-ops all over the place where you can do just that. Some of them do weekly classes, and some do regular group field trips to really neat nearby places.
You will also technically just have one teacher (or two, if both of them want to teach you), so if you don't like the way that they teach, you're kind of stuck with it - BUT! they can learn and adjust to best fit you! That's something most school teachers can't do.
One more benefit is that you don't have to be exposed to the kids in the schools. Most of them are pretty rude and unkind, especially in high school. Often times they are downright inappropriate, and most of them are quite disrespectful... Not all of them, but I went to a private Christian high school for two classes one year, and it was awful.
I think homeschooling made me a happier person in the long run, because the environment around me was relatively safe and stable compared to being in a school all day every day.
Anyhoos, lots of pros, and most of the cons are personal preferences!
I can "handle" them, but it's so not worth it to have to deal with it all the time. Why would I wanna exist in that cloud of misery. 
