Hi Dienza,
The wiki is really quite good, and a great place to start, and it took me quite a while to work out too.
This is my understanding, maybe it'll help.
Non-binary is 'everything' outside of binaristic MtF or FtM, androgyny is strongly male and female genders together, and neutrois, is neutral gender. Agender is a feeling of no gender at all.
Gender fluidity is where some days you'll feel more feminine, and others no gender, or masculine and neutrois, or feminine to neutrois to masculine to a gender or all of the above - it's an attempt to describe a sense of gender that isn't fixed, and moves around, and that can also be described as gender flux - but it's trying to convey a sense of time reflecting the rate of gender change fluid, being slower, and flux faster.
BI gender is simply where some of our personality or behaviour is strongly one of our genders and others are the other of our genders - it's an umbrella for the two spirit person, and often you'll hear the term Demi used where there is a clear proportion that is characteristically one gender.
So, for me that builds up to being non-binary. I'm BI gender, neutrois and feminine, and a strong component of my gender is feminine so I am a neutrois-demigirl, who was assigned male at birth, by the faulty medical sorting hat, and culturally raised as masculine... which I can't do, and the more I understand, the more I realise this simple fact.
Pronouns are more personal, and I'm very neutrois about them, I'll respond to he, she, it, they, zir, pretty much anything, because I am me (although quietly I love it when it's she/her - it's the girl in me

)
For me it's been a slow journey, but I feel I understand myself a lot better now - a journey that would no doubt have been sped up by seeing a gender therapist, but I am fortunate that I have no burning need to transition (yet!).
(Hugs)
Sno
Ps, you'll see me sign off as Rowan mostly now, as I feel mostly feminine. It's my way of trying to make up to myself for years of denying my inner girl - this is her stage.