Ok I was feeling slightly overwhelmed until I read your post :)
Wow - good on you is all I can say. That's quite an undertaking.
Moves suck but just something you have to get through. It will all be better once you are in and set it up (just have to get through this week and weekend).
Going in to work earlier will at least help you from sitting in traffic (which is always a horrible way to start the day).
Just make sure to take some time for yourself the next 2-3 weeks wherever you can. Can you go for a quick walk at lunch time? You'll need to de-compress a little bit. Make sure you eat well and get as much rest as you can.
The school stuff will feel more normal after a while and you'll get into a routine with all this. You probably feel totally disorganized right now, but it will come together.
Good luck :)