I'm I going to be charged a monthly fee for joining this account?

No, you will most certainly not be.

Nope, dafont is free

No, you wont

No, this website is completely free!

You already made this account and they did not ask for any account number or anything. So how did you came across this idea that they will charge you for creating this account?. How is it even possible, without knowing your visa card information and pin code?.

I forgot my login and if you click on start here on dafont they ask for a credit card and that after the first month it’s $39 or so per month!

What do you mean by "click on start"? Dafont is free and doesn't ask for credit card.
I think you clicked on an ad.

Yup, as Lemmiwinks said, you're definitely not talking about Dafont.
Dafont is 100% free.