For online, phone orders and my business orders I ONLY use a reloadable card--in my name--and put just a few dollars over the amount of the purchase. That way there is no chance of my bank accounts, etc. getting corrupted.
I only use my debit card for emergency ATM withdrawls from a bank machine and my credit card is for medical or dire emergencies only!! (Such as the vet for the dogs--they like to have their fits and issues after hours, lol!!)