Argh! This whole thing just makes me irate, especially this:
... they tell me to just throw enough food and water in their bowls and they'll be good to go.
I don't think there is a single way I could express my feelings about your parents views that I would not have to ban myself for!
I'm glad you've been able to work out a deal. I can understand a parent wanting to maintain a clean home and insisting you clean up after your pets. They can insist you care for and pay for your pets. But when you are being responsible and doing everything just the way they should and you have to fear them taking away your bird(s)... that's just sick wrong and evil.
Ask them how they would react if their boss at work said that if they didn't double their performance at work he'd take away their children. Well no, don't actually say that - wait a couple years until you have your own place.
It is just absolutely sickening how some people view animals. I'm glad you are not one of those people.
My mother (a retired pastor and theologian) has a thought that started out as a bit of a joke, but it has become more and more serious as time has gone on: She thinks/hopes that the only real way to get to heaven has nothing to do with what you believe, what traditions you follow, or what rules you abided by, but only that you have an animal vouch for you.
Reasonable enough in the judeo-christian traditions: animals never 'fell from grace' as humans did. They were never kicked out of the garden, they just came with us.
If there is a heaven that's the one I would wish to go to, where everyone there got there by the recommendation of an animal.