Should people install glass themselves?

No they shouldn’t. 

Glass installation requires skill and appropriate knowledge of building codes and standards to ensure that the appropriate glass is selected, installed correctly and handled safely. It’s not something you can learn in a weekend. Becoming a glazier is a 4 year trade qualification. If you get it wrong you are putting yourself and your family at risk.
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To protect family and enjoy peace of mind, choose a qualified glazier every time.