I'm very happy with my Visa. If there are any charges made outside of the US/Canada where I haven't forewarned them, I get a call within a minute of two from their fraud department, if it's me, I let them know and it goes through, otherwise they shut it down right away. Even multiple large charges in succession (bonus only shopping spree) gets flagged. I think it really depends on what card you have.
Sorry to here about it, hopefully things get sorted quick.
One thing that could be said for most cards is that if there's theft, there's an automatic paper trail and you typically get reimbursed. I have never experienced that with cash
