Awww Chico, yours are very cute. I have a good friend who has 3 cats (one Siamese), a beagle and two birds who all happlly co exist. But she said it took some training and of course her cats like yours are well fed and not interested in chasing birdies!! It can happen but accidents occur.
(Don't ask me about when I had a beagle and a bunny and the bunny - who was the dominant being - chased the beagle). Of course the bunny had been there first, lol