I have had many credit cards replaced when fraud was detected. The banks are pretty good about catching it before I do.
I do have a couple of rules, NO kiosks (like the ones installed in movie theatres to pick up tickets).... And always have one card in reserve that is never used except in an emergency. I remember being in a grocery store and my Amex card and Visa we're both declined due to fraud on the same day (different fraud sources too!). Thank goodness I had a backup because it was almost a week before the cards were replaced.
And it's not a good idea for your kids to have a CC that's linked to yours. Because of the places they frequent, like movie theatres and college campus's they are always having them cancelled due to fraud. My daughter replaced hers three times in one year!
A sad fact of life now... I guess we just become a little more vigilant and less trusting.
There are apps now that allow you to use your IPhone to swipe credit cards, the swipe terminal is so small it's barely noticeable. If you leave a purse unsecured someone could "borrow" your credit card and you'd be none the wiser.
And think twice about letting a credit card company know of your travel plans, they place a note on your account, and virtually any employee would know you are away from home setting your home up to be robbed. Ditto with stopping mail and newspapers...better to have a trusted neighbor pick them up.
Gosh I sound paranoid huh