I can hear some of you out there asking, Hey, you, is there a difference between convince and persuade?
The answer simply, clearly, and unabashadly is no, and don't let anyone tell you otherwise.
Oh, sure, they'll try to tell you that one requires more logic or reason, or that one can be followed by "to" and the other can't.
Bullpucky. They're synonyms without a substantive difference between them, so feel freely to use either whenever you see fit.
There. Did I persuade you?
(See what I did there? I chose persuade instead of convince. Wow, the raw power of choice!)