When I wanted a hamster, and then when I wanted a snake, and then when I wanted a rabbit, I did the same thing to get my parents to say yes.
1) I got the idea of the animal that I wanted, but I didn't let myself get my hopes up and too excited. Also start being the perfect child. (good grades, clean room, helping around the house)
2) Mention the animal toyour parents wheneveryou get the chance. I try to make it seem as casual as possible though. Something like when you see a carrot in your kitchen that your mom is chopping up or eating or something, you say, "I bet a bunny would be so cute eating this! Rabbits are so adorable...." (that's just an example
)
3)Do a tiny bit of research on the animal. Don't do too much so that you don't get too excited about the idea.Come up with some interesting facts about the animal. Bring it up casually and bring up a new fact as much as possible, but not too too much. Something like, "Did you know that rabbits are the most active at dawn and dusk?"
4) Just suddenly say, "I really want a rabbit." If your mom says something negative, go back to step 2 or 3. If she says something negative but could possibly have a hint of positive deep down in there, go back to step 3. If she starts asking you questions about a rabbit, happily tell her informationand don't be afraid to show that you know a lot about them.
5) If you get past step 4, go do a TON more research on the animal. Be an expert.
6) Keep bring the rabbit up. Also try bringing it up around other family members. Someone might be on your side. (that's how I got my parents to say yes to the rabbit. both of my grandparents were on my side.)
7) Give your parents the plain facts on rabbits. Make sure you clearly state that the rabbit will be yours, they won't even see the rabbit, and they pretty much won't even know that it will exist because you will be doing all the work. Tell them of your plans like where you are going to buy and put the cage.
Another good tip is to try to leave little hints about rabbits everywhere. Like, when I go on the computer and do my research on rabbits, I write down a bunch of little notes about them,like the cage dimensions, the best type of food, etc. Leave them in plain view so that if someone finds them, hopefully, they will read and understand how much you want the rabbit.
I know exactly what you're going through. I remember feeling so frustrated when my mom would say no for no reason at all or would make up some really sorry excuse and wouldn't listen to what i had to say. I had to do this when I first wanted a hamster. After they saw how I good I was with the hamsters,it was easier to persuade them into letting me get the snake and bunny later. I would also say to start with a smaller pet and work your way up, but it doesn't look like you have the time. It seems like you are doing a good job so far into getting your mom to say yes. Also, be persistent, but don't get on their nerves. It is possible for your mom to say yes.Just don't give up. Good luck!