Kaltxì, ma Uniltiranyu Aeana. Zola'u nìprrte'!
I see you put some serious thought into your Na'vi name. That's a good thing, as hopefully, you will be using it for a long time!
One of the hats I wear is that of a lion/big cat keeper. (By trade, I am a broadcast engineer.) So, I figured that a Na'vi name that reflected my interest in and passion for these incredible animals would be appropriate. Big cats, and especially lions, build strong bonds of friendship with you, and they can immediately 'read' whether you are a cat person at heart, or not. So, I chose a Na'vi name to reflect that. 'Eylan Ayfalulukanä means literally 'Thanators' friend', not in the sense that I am friends with thanators, but that thanators have chosen me as their friend. I purposely used the long plural form to emphasize that it isn't just a single thanator that sees me as a friend, but that many thanators do. I do ocasionally use the short plural form, and you could even shorten the name further to 'Eylan falukanä if one needed to. I will add that this is my original name.
I hope other folks share what their name means here, and that it encourages you to further study/learning of the language!