For those scared of phone based payments, you really should look at the technology involved. Using your phones payment technology is WAAAAY more secure than using a physical card.
First off, the retailer never gets your actual card number...they get a randomly generated tokenized number that is valid for that single transaction only, after which it's dead...so your card number can never, ever be used fraudulently afterwards.
It's also biometrically protected against unauthorized use. Without my fingerprint on the phones sensor as soon as a payment is requested, no payment happens. Loose your phone? It's of zero use to anyone so far as stealing your money. Lose your physical bank or credit card, or cash? Yeah, not so much. Worst case, you're out money. Best case, you get it back but (speaking from experience) it can be a long, arduous process that can take a LOT of time and even then sometimes isn't successful. (I'm looking at you, TD Visa.....)
Lastly, providing you properly use your phones "lost phone tracking service" (IE, Find my iPhone for Apple hardware)..as a second level of protection, if you ever do lose your phone..you simply remotely disable it through FMF which not only kills the phone (and can remotely wipe it completely if you want), but also completely disables (in the case of iPhones) ApplePay as well on both the phone, and Apples servers.
On the topic of privacy, it's also way ahead of the game. A retailer can't track your purchase history (which, yes, is often linked to your name and address) when you use a tokenized phone payment system.
SamsungPay and Android Pay offer similar advantages, although aren't quite as secure as ApplePay, but still WAY more secure than an actual physical card.
Please, don't just assume that technology somehow makes you more vulnerable in the case of payment tech - the truth is actually the polar opposite.