This is what I would say: "All day long, my son demands that I carry him in my arms. Plus, I have to homeschool my daughter who is very lazy and it takes a lot of effort to get her to study." Good job! Only a few minor errors, but it looks good. :) I don't usually spell "home school" as a separate word. Instead I spell it as, "homeschool". Though this is a minor issue.

Note: You would receive better answers for this type of correction in italki's Journal section.