Looking for school for my children in Brussels

Hello all,

I am hoping for some advice from you regarding schools in Brussels. I am an Italian, married with a Spaniard, living in Washington DC. My children are 8 and 6 and they go to a local American school.
They are fluent in English, Italian, and Spanish.

We will move to Brussels in summer 2019 and I am looking for a school that would be a good match for us.
I have so far looked at:
1. European School - main problem we do not work with the EU, so that may be pretty difficult.
2. Lycee Francaise - how is this school? My children are better in English than French....

We would prefer a bilingual English-French, the only English schools seem very expensive plus I would like the kids to learn French, but I am looking for school where the transition from the American school will not be too difficult.

Any advice would be really appreciated!!
Thanks
Chiara