Very difficult to hunt cougars without dogs.
Most people who have been near them never know they were being watched - unless they have been attacked.
A guy from another company came up on two who had very recently eaten the innards out of a deer, about 150 yards away, around the mountain from me. The cats left, but neither me nor another guy on the mountain saw them. We did find the kill, buried in leaves, 'cooking' in the heat. Pretty fresh.
IMHO, keep the kids inside, the pets (and their food) in at night, and a shootin' iron handy.