Hah. I also own two parrots... A Senegal and a lovebird. I used to have 2 lovebirds that were given to me, but they lived up to their name and produced 3 babies, and then a few months later 3 more. Got a nesting box, but since their cage was just a pretty small one, I made a hole in the side of it to mount it on the outside. After the second set within the same year, I realized it was very stressful for the mother and her body, so I sold the parents to a breeder who knew what she was doing and how to keep them healthy. Apparently, throwing two lovebirds in a cage and getting them to breed is very difficult, and she was impressed.
So I decided to keep 2 babies and just sell the rest. I didn't need the money, but I wanted to make sure the prospective owner was committed and could afford to take care of it. I also either brought the bird to their place or checked it out ahead of time to make sure it was a decent place to raise them. It might seem overboard and a hassle for the buyers, but I was attached to them and I wanted to make sure that they would be properly taken care of when no longer in my control. There's only one person who I refused, a roughly thirteen year old Indian kid (with his parents there) who already had a few birds, kept them in tiny cages in a mess on the floor, and tried to lowball me after agreeing to a price over the phone. I gave the kid a piece of my mind, in front of his parents, and left. As for the other buyers, I gave them tips on cages, setting up the cage environment, how to feed and take care of them, etc, and then followed up with a phone call a few weeks later (most of them called me first anyways) just to see how they were doing and how they had settled in. Many even sent me pictures, which I didn't request, but it was good to see how much they cared.
The two that I kept were from the second "litter". One of them was a runt that was noticeably smaller and had darker (not as bright) feathers. The other was my favorite as it had the most gentle, curious, and sociable personality of any bird I had. I noticed something wrong with the feathers of the runt after a few months, but though it was a nutritional thing and related to his birth as a runt. A few weeks later I discovered it did indeed have something to do with being a runt, but it turned out to be something more serious. It's sibling and cage mate was constantly biting the feathers off of him (a behavior enforced through natural selection, the healthy ones basically killing off the runt to prevent them from wasting valuable resources). I had a tough decision to make, but I sold the sibling and kept the runt.
It's now a healthy bird with an awesome personality. He gets let out of the cage for a bit almost every day, though my dog doesn't like him (or the senegal), and gets very jealous when I give it attention.
The Senegal is kind of an ******* to most people, but when he likes someone (usually females), he's like a cat and purs as he's being rubbed and bites when he's had enough. Definitely has the self-serving nature of a cat!
Most people, especially with smaller birds, put them in tiny cages and treat them pretty much like fish, never really interacting with them. Which is sad, because they need interaction, mental stimulation (eg toys), and enough space to exercise and fly around. It's almost like keeping a dog in a kennel all its life and never giving it any love and attention, or even things to keep itself busy with. It's pretty sad... birds can have just as much personality as cats or dogs, but most people don't know or care, letting them languish in a very confined and boring space, utterly destroying whatever personality they might have, letting them turn into vegetables, more or less, just eating, pooping, sleeping, and pretty much just standing in the same spot 24/7.