That sounds like a very good plan, it's never easy!
The answer to the question of my daughter being happier.......Yes and no. We decided to partial homeschool and her classroom teacher is hostile to the idea and has taken it out a little on her. On the other hand, my other daughter is doing the same and loving it. Skipping into school happily, skipping out of school happily, yet she had a rough time in K.
So often it comes down to the teacher.
Good luck with everything. It's never easy, but you'll come up with something, I'm sure!
