Hey BDkeeper,
I've had this same problem with my parents as they don't like snakes, the things I tried to convince them were things like joining this forum and showing & telling them that snakes and beautiful creatures and that there not out to get us, I've also showed my mum heaps of YouTube vides of the Antasisa group (Spotteds, childreni., and stimson's, and ringing up pet shops for the supplys I need and getting good prices on things and showing them I'm really responsible and ready to have such a pet.
& heaps of nagging haha, in the end it's paid off for me and now I'm getting my first snake and now my mum doesn't really mind them neither dose my dad, I also took both of them to my local pet shop and held one, didn't get tagged or anything so that worked in my favor to get one even more lucky it was a docile hatchling.
I'm getting a hatching stimson's python in a couple of months time from a breeder, so I'm pretty exited, as there a small python and really good for beggingers, but children pythons are good, and the spotted, I've made list of all the things I need and drew and quick sketch of what the set will look like, now both my parents know I'm ready for a python, also use the therm python, as when u say snake they most likely think venomous and slimy, pythons have no venom I said this to both my parents so many times and that chage their line of thinking hehe.
Ive had blueys and geckos before so I'm not new to reptiles, so I have a fair idea to what I'm doing....another thing is to say 'ill be the one looking after it, not u", this worked for me to convince both my parents, and now all my work paid off.
good luck, and u hope u can convince both your parents, I'll tell u now it want be easy hahahah
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All the Anatarisa are pretty much the same to keep,Stimson's are the smallest, spotteds are the biggest of the group and the children's is in the middle I think of the sizes (someone correct me if I'm wrong) , there all great for beggings, but just chose the one u like best.