If I wanted to say “I was born in 1978” – would it be “Mwen te fèt nan ane diznèf swasann dizuit”?

Yes, don’t forget to write in “san” after “diznèf”

“Mwen te fèt nan ane mil nèf san swasann dizuit”

Or

“Mwen te fèt nan ane diznèf san swasann dizuit”

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