Contrasts on your upcoming transfer to a University! You're halfway there.
Yes, the FAFSA will award you any federal aid you qualify for: work study, grants, loans, etc.
The fixed rate part isn't so important; they can always be consolidated later. The main factor right now is whether they will see your as independent or dependent. You mentioned your father's income; I'm guessing you are looked at as dependent. Your father will likely be offered the parent PLUS federal loan. I recommend against these because once done, it cannot be covered to a student federal loan. There are numerous benefits to student loans such as deferments and forbearances, or payments based on your income. I would recommend you two do some research before you make the final decision to accept it or not.
I believe there are two more options. If you are not offered a PLUS loan, you will be offered student loans to make up for it (unsubsidized I think). Or if you don't want to put their information on the application because they afternoon going to help you, you'll get Unsubsidized loans only. There is an annual limit for both subsidized and unsubsidized loans. I'm really rusty on those details but here's the links with all of the details:
https://studentaid.ed.gov/sa/fafsa/filling-out/dependencyhttps://studentaid.ed.gov/sa/types/loans/subsidized-unsubsidized#subsidized-vs-unsubsidizedThe last result would be to take out a private loan. I wouldn't see it as either or; try to accept any federal aid before this. There are very few protections and the payments don't really take into account your income. Interest accrues immediately.
If you have any more questions feel free to ask. It's a big decision and we'd like to help give you any information you need to make it. Student Loan Hero website also had an abundance of articles that talk about these things.