Third party payments services like the wildly popular PayPal allow consumers to keep their account numbers and financial information private.  But it doesn’t protect their purchases as much as an online escrow services can. 
Escrow services cost more to use, but they hold your payment until the buyer gives the “ok” and authorizes payment be released to the seller.
Unfortunately, scammers have found ways to create fake payment services - learn how to spot a fake and protect yourself before you pay anyone anything.
No matter what type of service you use, if at all, pay by credit card so you can dispute the charge if something goes wrong.