Definitions
Publicly self-identify: The information you are providing is how you would identify in each category to the public.
Transgender: An umbrella term people may use to describe their gender identity and/or gender expression as different from the sex they were assigned at birth. People who identify as transgender might describe themselves using one or more of a wide variety of terms including genderqueer, non-binary, and transgender. Transgender people may claim/affirm their gender identity through hormones and/or surgery. Transgender identity is not dependent on surgery. Transgender identity is not a sexual orientation.
Nonbinary (also non-binary): Preferred umbrella term for all genders other than female/male or woman/man, used as an adjective (e.g., Jesse is a nonbinary person). Not all nonbinary people identify as trans and not all trans people identify as nonbinary. (Source 2)
Disability: A disability can be physical, learning, cognitive, sensory, mental or chronic health or other disability that is a barrier to everyday living. (Source 3)
Sources: 1. UT Austin Gender & Sexuality Center 2. Trans Student Educational Resources 3. Respectability