Okay so, basically the easiest way to tame these cute little guys are to keep your distance and make sure they don't face you. Put Mejoberries into the last slot of the hot bar and quickly run up every now and then, feed it, and then run back to a safe distance. It can be tricky but patience is key. Also, if you are a high enough level, dodo kibble can be used instead, if you wear a ghillie suit it has a lower chance of noticing you.
YOU DO NOT NEED A GHILLIE SUIT. It’s perfectly possible to tame them if you do that army crawl thing aka “Prone” and trail them. WARNING: they WILL NOT EAT on their own while you’re taming them, and they CAN starve! Try to stay close as possible and don’t give up half way if you intend to try again; it’s going to starve if you aren’t vigilant