I'm not trying to be flippant, but if you are a control freak, it's hard for me to understand why you would want to use a debit card in preference to a credit card. Particularly should there be any fraudulent activity on the card, you are much more "in control" and much less at risk of loss if you use a credit card rather than a debit card.
I get called and emailed promptly when there is any suspicious activity on one of my credit cards. The major credit card issuers seem to have very sensitive software to detect fraud. Also, your liability is limited in the event of fraud.
The only account I've ever had real difficulty with fraud was a debit card. First, the bank's software never detected it. I was just lucky that I logged on to my account and spotted the fraud within a few days of its onset. Then it took several frustrating months and many phone calls to resolve it.
Today, I assume that every merchant where I use my credit cards will sooner or later be hacked. So I strongly prefer using credit cards. I don't want anyone getting my debit card number.