Good method i recently used was eating rare flowers and led it to our bird trap near our base. Make a 6×6 structure with stone and use doorways for the walls so u can shoot it from anywhere and put a stone dino gateway on it. The bird sometimes will just fly for what it seems forever so get a high health flying mount and keep eating rare flowers by it and it will agro on you and just lead it back to the vird trap and jump off the mount and lead it in and have a tribe mate sgut the door or shut yourself in with it quickly then dip out the side through your doorway walls and bam! Its trapped, got to keep eating the flowers to keep it agro.
Extremely difficult to tame. Best options are to bola it, and then use a longneck rifle with tranq darts. Otherwise trying to get it to fly into the side of a cliff and get stuff is the other option for a solo tame.
Since the new update, rare flowers make dinos aggro on to you, you can use this on a tapejara and it will follow you to a trap you've built. Just remember that each flower gives only 10 seconds of that debuff so if the bird is far away from your trap, you have to use it frequently while coming back. Also, if you need it to follow you after you've gotten off your dino, you need to eat another rare flower so that it can agro on to you once again.