I'm thinking of rehoming one of my pet parrots
Why do you want to re-home one of them?
I don't want a bird who's such a demanding pet
If you think someone else can provide a better life for your parrot, there is nothing wrong with rehoming it. Pets deserve good lives and should live with someone who can provide that.
It's my pet so who are you to tell me what to do with it?
That's exactly what I was saying.  This is your pet, and your responsibility, so if you are not fully able to care for it, then you should feel okay with finding a new home for the bird.