It's difficult to spread the correction process over several days if the car is your daily driver. Wash and clay first, to get that out of the way, so that when you go to resume your work later you can give it a quick wash/dry or detail spray/wipedown and move straight to the Swirl&Haze Remover.
Do what Junkman said, and concentrate on one small area at a time. Patience is key. In your situation, I would suggest after you complete each panel, put a hand coat of Buttery Wax on the panel (if you have it, otherwise you can just use some other wax since it will only be temporary) to keep the surface protected while you continue to drive and work on your car at the same time.
Once you have finished correcting the entire car, you can wash with Dawn to remove the 'temporary' wax, and put down a coat of Machine Wax to seal the paint and give it better, longer-lasting protection. Then you can follow that with a coat of Americana for the ultimate shine.