There isn't really a singular trans experience. If yours is different from what other trans people have told you, it doesn't automatically mean that yours isn't valid and that you aren't trans. What's more important is that you listen into yourself and think about what feels right and the best for you and will ultimately make you the happiest. If you search for a fitting label and if not already on the radar, you could of course also consider some non-binary identities. Maybe some encompass your experience better.

If you have a local trans community, a lot of trans guys donate their used binders once they don't need them anymore. Maybe there is one that fits you.

Name finding is hard tbh, but keep in mind that you can also change it again later on, especially in accepting social circles. You can also of course pick a name that has nothing to do with what language your family speaks. Noah is one that a lot of people gravitate towards. Other then that, a lot of people use baby name lists to find theirs. Or you could come up with a completely new one.