You should always wear eye protection when handling muriatic acid. You do not want to breathe muriatic acid fumes. If you spill any on your clothes it will cause damage. Muriatic acid may sting a bit if you get it on your skin, but won't normally cause any serious harm as long as you rinse it off right away.
Muriatic acid should be added to the pool by pouring slowly in front of a return jet with the pump running. You should pour slowly enough that pouring an entire jug takes more than two minutes. Leave the pump running for at least 30 minutes after adding muriatic acid.