Homeschooling....

I've always wanted to homeschool. not just because of the poor public school system (don't get me started on) or the downward slope of modern society but just because of the freedom. The freedom to learn about what you want to learn about that day, the freedom to get up and go to the park or museum if you want, or take a trip to the beach. Why should the governemnt decide where MY child is going to be 8 hours a day?? I dont think so. If your really interested look up how the school system originated in America- its really eye opening. Do a search on Prussian compulsary schooling. Its just a way for the governemnt to maintain a compliant society. There's definitely a underlying purpose.
Today we went to an art museum/multicultural center and got a tour of the gallery and an art lesson from one of the featured artists. Which was really cool because she told me she gives private lessons out of her home! yea. Its been kinda hard to find extracurricular activities so far for my 6 year old. And somethings are just too expensive. We hope to start a city swim team in the spring and maybe peewee cheer.
Im having a hard time though with my 3 year old as in keeping her busy while I work with my 6. My smaller one is sooo busy she wont really stay with us for very long, ( I try and set up something for her at the same table) but she ends up running off and I feel like Im ignoring her. But its just the age I guess.If anyone has any tips let me know.