Why would the police search your house if somebody buys your stuff with a hacked credit card?
They would be buying stuff for you and having it shipped to your house. It would appear that it was
you that was using the stolen credit card.
If this happens once the police won't bother you. If somebody uses a stolen credit card to make a purchase at Walmart... do you think they are gonna investigate Walmart?
If it happened at a high enough volume then yes.