Nearly three years ago, I had taken lessons for perhaps half a year or so until I stopped because I didn't feel like my teacher was effective and I wasn't particularly fond with his teaching style. Additionally, I had decided to place much of my efforts elsewhere primarily in my academics but now that summer has come around, I've decided that I would like to go back to playing the piano.
I'd first like to give an explanation of my skill level. I've never been involved with the ABRSM but if I had to grade myself, I'd certainly be at level 1 or perhaps a low 2. However, I am familiar with musical notation, reading sheet music, and figuring out where the notes are.
The primary limiting factor to further progress is the lack of hand independence even at slow speed. I feel that this problem is the first thing I need to address to have any hope to play any more advanced pieces.
I have a few other problems such as working with the metronome at any tempo other than slow but I should be able to fix that with sufficient practice at slow then increasingly fast tempos.
So considering me to be slightly ahead of the total beginner and without recommending me to take lessons, how should I approach relearning the piano on my own? What "easy" classical pieces can I start with?
My goal by the end of summer is hand independence so I would like an approach that focuses on this. Learning a nice piece of two and having the ability to play it through at the proper tempo is a plus.