I got the cat first, then the lovebirds, then the Amazon, then the Grey. Duncan (the cat) was nine years old when the birds started coming. He is not declawed. I supervised very, very closely as each new bird moved in, because Duncan was definitely curious and he couldn't always curb his instincts in time.
It has been about a year now since the first bird arrived, and I trust him now. Not completely - I still supervise. But the only bird he still takes swipes at is Oboe, the lovebird, and Oboe is fast and smart. Duncan usually doesn't bother to even try to get him.
Yesterday Simon (the Grey) flew from the boing to the couch to be with me, which he does many times each day, but he didn't realize that Duncan was lying on the back of the couch, which is Simon's preferred landing pad. Simon landed right on top of Duncan, who woke from a sound sleep, opened his eyes, and waited for me to remove Simon. Then he hopped down and went and slept in his basket.
They coexist quite peacefully, now that they've had some time to get used to one another. I think it would be even easier for a kitten to learn to respect birds.