I wouldn't worry about it too much. It's definitely possible but really not probable that it would happen, bobcats like to keep to themselves. Unless one happened to be around and your kids were out playing with some kind of pet it wanted to eat. We have one or two in my woods as well and they usually disappear well ahead of you rather than staying to pick a fight.
(I have found a couple of their kills though - they can do some nasty work)