someone has stolen my credit card info. and made purchases a couple of times now, and my credit card company has contacted me, so I see no reason to check daily since they seem to do it for me. And so far I've had no problem with the credit card company not charging me for any unauthorized charges.
I was under the impression that debit cards were a good way for thieves to steal money right out of a checking account, assuming it is tied directly to your checking, so I avoid debit cards.