As far as I know, your father will get a visa and work permit for him *and* his wife, but you, as you stated already, being *of age*, are a complete separate entity and are absolutely NOT connected to your Mom and Dad. I am stating *complete* and *absolutely*, because there are no ifs, ands or buts .
It happened to us when we lived and worked there.
When two of our children turned past 18, they had to leave.
So, the only way is to get a job there, before you go, or, get a visitor's visa for however many months they will give you, and then try to find a job there while *visiting*.
If you do not *have* to work, then you could go *in and out*,
each time when your visa is about to expire ...