Waaaay back in the day, when I was getting started with reptiles, I was very lucky to have lenient parents. However, my mom was, and still is, absolutely terrified of snakes. And she produced a son that has obsessed over them for most of his life.
At first, I could only keep lizards and turtles in the house. Then, I eventually got my mom to agree to a tiny little ring neck snake. It just grew from there. She never liked them, but, she was such a good mom she let me have them in spite of her phobia. I need to thank her for that, officially. Anyway, break your parents in slowly. That's the best way to go.