I did the same with two of my kids, and we have more than two languages to consider. We want something simple to write, spell, and pronounce in all 2 languages + dialects: Cantonese, Mandarin, English.

It is super challenging. And some of my relatives are super into 八字 (https://en.wikipedia.org/wiki/Four_Pillars_of_Destiny) that also need to make sure the characters written in Chinese can align with that too.