Wanna-a short form of "want to"
I wanna do it=I want to do it
Gonna-a short form of "going to"
I'm gonna live my life=I'm going to live my life
He's gonna write a book= He's going to write a book
Gotta-a short form of "have got to", "has got to"
I gotta go now= I have got to go now/I've got to go now
You gotta do what you gotta do= you have got to do what you have got to do
Be careful with "to", as it must not be omitted after "want (to)/have got (to)/going (to)"
and is never used after "wanna/gotta/gonna".
Some more for you:
Gotcha = got you
Gimme = give me