Casey makes her point well (oh and you totally sound like a mom!)

I'm in college but if I was living at home there is no way my mom would ever let me have a snake she freaked out when she found out I had one! Even though my dad thinks it's cool and is kinda jealous cause his mom never let him have one.

Okay sorry for the story here is my piece.

Definitely continue to show them your care and appreciation for your current pets. Find out there concerns and see what you can do to help ease them but not in away so as to have an argument for their issue with it. Most importantly share your passion by sharing what you learn and tell them why you are so intrigued with the animal.

My girlfriend who "isn't afraid" of snakes has never liked the idea but I have had to break through moments both after talking to her about my snake and all I have learned about her.

One while showing her sister a video of ball pythons (who kinda freaked out) my girlfriend said, "they aren't that bad they are actually pretty nice."

Two when showing her a video of a freshly hatched pastel my girlfriend said, "aww it's so cute!"

Moral of the story don't give up but don't push either. If they still absolutely won't go for it you have your other reps to keep you company until you move out!