Moving into your dorm is going to take a lot of time and energy, so pack a cooler with water and snacks for the inevitable strike of hanger.
Label all of the bins you are bringing with you with exactly what is inside, and make sure to label on the side of the bin for visibility when they are stacked. Also, it is helpful to number them so you know if you are missing anything.
Before leaving home, decide where your towels, snacks and laundry supplies will go. Pack them up in their bins for easier move-in.
Before and after you move everything in, there is bound to be a mess. Bring a small vacuum for easy clean-up.