These things only become familiar with continued usage. Give it time.
That said, the particular paragraph has some problems with antecedents. It could equally have those same problems if you were using other pronouns, like he, she, or it.
https://en.wikipedia.org/wiki/Pro-drop_language
It is hard to make the argument that singular “they” is somehow an inherently confusing construct, especially given how prevalent it is in English, and how prevalent it has been for centuries.