As sucky as this may sound, and unlike the rest of the people here. I do not encourage trying to *convince* your parents to do anything. A rabbit lives for a decade, and some have been known to live more. Where do you see yourself in a decade? In college? Staying at a dorm where pets aren't allowed? Can you, right now, pay $500 vet bill because you accidentally stepped on your rabbit?
Whether people like to think or not, the fact that you live in your parents home means that at ONE point in time, you WILL need them to take care of your pet. Whether it is when you move to college "just for a little while", or when you're house shopping and you can't find an apartment that will allow pets, etc. Convincing ANYONE to do something and then expect them to help in the future is not only unfair, but it's immature.
If you're father doesn't want any more pets in the house, respect his decision. The other animals aren't yours and that's tough luck, but that's what you have to live with when you live in a home that isn't yours. Sit your parents down and ask the reasons why they refuse to have another animal in the home (notice that I said why they don't want one in the home, not why they wouldn't let you get one, it is NOT the same thing). If it boils down to money, save. If it boils to responsibility, take care of the house, chores, bills, pay for your room for a while even if they didn't ask you. If it boils down to them thinking they'll have to end up taking care of it in the end make a deal, if you want the rabbit a YEAR from now, would that prove to them you're determined that it isn't a phase? Etc.
If it boils down to the fact that your father simply doesn't want any more animals in the house, be respectful of his wishes and wait until you move out and do whatever you want. A rabbit isn't just an animal that will take a corner of their home, it needs hours of exercise outside the cage in a large room that doesn't have anything that would endanger it, it needs a LARGE cage (at least 2 x 4), and no matter how clean you are, due to your busy schedule one or two times it'll stink up your room because you took the time to study for a test or were just too tired from coming home from work, and that is a smell your parents will have to deal with or clean themselves (and since it isn't theirs, they shouldn't have to). It isn't just another animal in the home, it's another animal taking space, time, responsibility, money, potentially ruin house property (chewing cables, etc).