Regarding Translating "let's move forward" or "we re moving forward", I can see why I'll see many different variations for just one little sentence

yeah, I guess you found out that each Creole word that translates these sentences may have their own variants

Let's move forward
An'n vanse douvan
An'n vanse pou pi devan
and more...

We're moving forward
N'ap vanse douvan
Nou pral vanse pou pi devan
N'ap vanse pou pi devan
and more...

Haitian Creole ↔ English Reference, Look up Haitian Creole and English Words