I see where the people who say "Get a baby, it doesn't matter if you are old as long as you give it love and good care" come from but I don't really agree with it. As an older person, I can tell you that for us, caring for large birds can be real hard sometimes. There is a lot of work, a lot of planning, a lot of money, a lot of time that you have to put into it. You wait until your kids are out of the house so you can start having a bit of time for yourself but, if you have a parrot, you end up not going anywhere for fear he is not going to be well take care of, that he will suffer, that he will start plucking/screaming, etc. It might be captivity for the parrot but it's slavery for you! And then you have to worry all the time what will happen to your beloved companion when you can no longer care for it -and nobody should have to go through this worry as they get old...
As to rescues not wanting to place a bird in a household where there are many... yes, it is aggravating and sometimes unfair but there are so many collectors and hoarders out there that I don't blame them for been extra careful. And these people can fool the smartest people out there, too. There was this lady who used to be very active in birdsites years ago, she said she rescued, that she took excellent care of her birds (she posted pictures of these beautiful birds) and she certainly gave good advice so people even sent her their 'problem' birds... then she died and a rescue her husband contacted went to pick up the birds and found the beautiful birds in a front room and a horror story in a back room. You can't trust people and birds are particularly attractive to hoarders and collectors so good rescues are VERY careful and usually distrust people who have a large number of them. And this is not only because they might think you are collecting or hoarding, it's also because each caged bird needs, at least, three to four hours of one-on-one and there are only so many hours in the day. Again, this sometimes works against the bird in question but it's not done out of malice, it's done out of concern for the bird.
Thankfully for some of us and unfortunately for the birds, there is always Craig's List where you will find lots of unwanted birds every single day of the week.
Please adopt an older one, there are soooo many great birds that need a good home and I promise you won't regret it because seen that bird bloom with health and happiness after it bonds with you will give you a huge feeling of accomplishment mixed with a love so big that will overflow your heart - a feeling that I often compare to giving birth because nothing else comes close.