I have a less optimistic outlook then most, because I've been in this situation.

In your situation, it would be difficult. Both you and your partner are fluent in English, and the kid will go to school in an English speaking environment. Furthermore, I'm going to assume that your partner can't understand French and you can't understand Chinese.

Personally, I think the only way to pull it off in this situation is:

1)You speak French, and your partner only speaks Chinese. As for how you handle communicating to each other...I do not know. You might want to learn how to understand the respective languages in advance, so that English is not needed.

2) Do not send the kid to daycare early. Wait until the kid is maybe 3.5 or 4 if possible. That way the kid has more time to develop those two languages. Once the kid goes to daycare/school, it's going to be much more difficult. The kid will want to learn/speak English, and once the kid realizes that you both understand English, it's going to be harder.

If you aren't able to do this, then I think it's important to recognize early on so that you can move onto Plan B.

Plan B is to teach the kid your language as a second language. Instead of just talking to them in your language, you will have to actively teach it them just like you would an adult. (Keep it simple and slowly introduce new concepts.) I personally believe that just talking to a kid and expecting them to absorb it is detrimental when the kid is not in a fully-immersive environment. The kid will learn to just tune it out, and will build up a resistance to learning the language. I think you can waste a lot of time this way if not careful.