I’m Dutch/Chinese/Indonesian, plus other stuff.

The short answer is: it’s not going to be clean. These things are always messy. Your children may build their identities more on being Filipino, or Korean, or American, or on being from your state or neighborhood, or on their skills as a soccer player, as a writer, as a scientist ... They may cycle through phases of identifying with one or the other more, or neither, or both.

Definitely teach your children both languages + English if you can. I’m still a little salty that neither of my parents passed down their native languages. Even a little exposure to a language early in life can help tremendously if they decide to pursue it later.

The best thing you can do is let them know that both cultures are fully theirs.