Follow up at home
When your vacation is over, keep an eye on your accounts for a little while; some professional scammers may not use or sell the numbers they collect right away. Monitor your statements carefully because thieves will sometimes run a tiny purchase -- maybe only a few cents -- through to see if the card number is still active.
If you have reason to believe one of your accounts may have been compromised, you may want to consider asking the card company to cancel the card and issue you another with a new number. If you take this step, don't forget to update any merchants with which you've set up recurrent billing.