Take the time to understand/know the behaviours of the livestock you are working with. Make sure they are handled by trained and agile workers.
Make sure your working area is safe and has safety measures in place. E.g. good handling facilities for example adequate gates, a well maintained crush, fence heights appropriate for the animals being managed. etc.
Always have an escape route or refuge for emergency situations while working with animals
Stop disease/infection passing from animals to humans by ensuring you have good personal hygiene practices and wear the correct PPE when working with animals.
Always be careful around cows and heifers with new-born calves and NEVER turn your back on a cow following calving.