For example, I don't like nose rings; they look like shiny boogers or zits to me. I used to judge people who had them, and thought that I would be mortified if one of my children would get one. It took me a while to realize that it was up to that individual whether they decided to wear one or not, and that wearing one in no way affected that person's capabilities or the compassion they deserved. The same goes for other types of piercings, hair styles and colors, or tattoos.
Similarly, I don't really care what sort of clothes that people wear. While I will still insist that students do not wear clothes that advertise drugs (including alcohol) or profanity while at school, I have no issue with a man wearing a dress (with pockets!) because he wants to twirl without having to hide the fact behind the words kilt, robe, or cassock. Certainly, I have no room to judge other people's fashion choices.
I used to struggle with the concept of cosmetic plastic surgery, and I still struggle with judging those who have (in my opinion) taken it too far. However, I have also come to realize that this, too, falls out of the realm of any of my business. Certainly, I understand looking in the mirror and not seeing the person that I expect to be there.
In a similar vein, I will refer to a person by whatever name that they want to be called (assuming I remember). If people change their names, I feel it is disrespectful to insist on calling them by the names they left behind (unless they expressly ask me to do so). Nor do I think it is my job to check people's trousers for their gender; I will take their word for it. And for those concerned that this belief will lead to girls seeing boys' genitals in their bathrooms or locker rooms: 1) There's a disturbingly high chance that they already have for completely different reasons 2) Maybe we need to rethink bathroom and locker room design 3) The shame and humiliation I personally witnessed and experienced in the boys' locker room as a middle and high school student has made me want to change the entire situation anyway.
Based on my changing views, some might accuse me of moral relativism, but I truly believe that my morality--based on God's commandments to love Him and His creations--is a much stronger constant than basing morality on rules and regulations built for societies long-since gone.
You might ask, "Then why did you write that post about trans competitors the other day?" Well, because it is what I believe now based on the evidence that has thus far been presented. That's how I operate. Perhaps future me will shake his head at my foolishness, or perhaps my concerns will prove prescient. You'll have to ask me later.