Going by your previous posts you already have a Golden Retriever, and a Rat. Two dogs are a lot of responsibility and HARD work, I have two Dober man(or is that men?). If you have to persuade your parents it sounds as if you are probably young(ish)/living with them, so I would question your ability to take responsibility for the Dogs and suspect most of the work would fall on your parents, soooner rather than later, which really is not fair, is it?
Don't do it, I don't think you're ready, not with a broken wrist and Netball to contend with as well!
;o)