Travel in groups. Use strong lighting when moving around at night. Do not attract wildlife to your camp. Don't feed wild animals, especially deer, upon which the cougars prey. Leave your pets at home.
Pets are easy prey for cougars.
Closely monitor your horses or pack animals. Closely supervise your children. Teach them how to respond to an encounter with a cougar. Give them a way to escape. Running can cause a cougar to instinctively chase you.