1. Bank-account busters. I was recently offered a discount for a monthly service, but only if I shared my bank account info to set up automatic payments. I decided against it. With that data, thieves can steal funds right out of your account, make counterfeit checks and commit ID theft. And even security-conscious companies have data breaches. “We had a record-setting year last year, and it’s not slowing down,” says Eva Velasquez, CEO of the nonprofit Identity Theft Resource Center.