Use proper glass handling gloves.
Wear closed toe shoes, preferably with steel toe caps. This also allows you to set the glass on your toes prior to changing your grip to place the glass in the rack.
Clear the passage ways of all obstructions, whether on the floor or at the walls and door ways before moving any glass.
To carry large sheets of glass safely (for yourself and the glass), you need to support it from below as well as the end. One gloved hand goes under the bottom and the other on the side edge. The glass is then carried vertically, with the edges at an angle. This is done in a manner so that the glass is on the side of your body with both palms facing outwards. If there is a trip or other accident, the glass will be tipped away from the body. This sounds awkward, but is safe and easy when you get used to it. It also is the glazing industry standard method of carrying glass.
If the glass is too heavy to lift in this way, use suckers and get others to help.
If the glass breaks while carrying it just let it drop. Trying to catch or save it will lead to a hospital visit.
Always set the glass edges down on a cushioning material. This can be wood, linoleum, carpet, etc.