I am hoping that someone with more experience with cats and birds will provide a better answer to this question, with "how to" direction. But here is part of the answer.
Cats are naturally drawn to the types of movements that birds (and prey animals in general) make, there is nothing you can do to to stop them from having an interest in birds. Regardless of the species (see related) being introduced, every member of your family (human or otherwise) will need some type of planned meeting and supervised visits to live successfully together.
Cats and Dogs have the ability to differentiate members of the household from those not belonging to the household. But is up to you to provide the training. In my rabbit volunteer capacity I get a lot of questions about cross species interaction, one of my recurring examples is that just because a dog barks at the mailman, does not mean they will naturally be aggressive to all people...
A couple of decades ago, I lived on several acres with, a multitude of animals. I had a cat who was free roaming, primarily to keep non-family critters (i.e. mice) away from the grain. At the same time I had free roaming chickens and lots of baby chicks. The mother chickens and myself were able to convince cats that baby chicks are family. One spring I had several baby turkeys in a pen, and one cat in particular, had a strong attraction to watching them. He would leave the baby chickens alone, and never made any move to kill one. But he would sit outside the pen, watching those turkeys for hours, his tail twitching in that way that implies what he is thinking about doing to those turkeys.
Well one day, when the turkeys were all twice as big as him, I scooped him up and let him join me in the turkey pen. He decided he really did not have a desire to actually be "IN THE PEN" with turkey's and made his desire to be on the other side of the wire, very clear very quickly. I let him back out, and a few minutes later he was back watching the turkeys with his tail doing that little twitch.
So my part of the answer is; while the hunting instinct cannot be unlearned, it can be directed. A cat can learn to except a bird as part of the family. This will not keep it from going after wild birds, but those in the shared space that are "family" can be safe.