Raising a bilingual kid

We live in France. I am French. Everything I've read about bilingual children could be summed up in a couple sentences: each parent should speak his native language with the child.
Yet we decided to do otherwise.
I speak English with my kids. Sometimes French to read a story if the book is in French. Sometimes for nursery ryhmes, sometimes for playing I mix up words of both languages (a big NO-NO but I don't care, I could just as well make up words I don't think it's that bad! ).
We decided, as a family, to make our home a little piece of the other country. For now we are in France, our kids are likely to go to school in the village, their babysitters are French, their friends in the park speak mostly French, my parents, sister, cousins, almost everyone else speaks French with them.

Now that my two years-old is talking a little, we see how is language is building up. He knows more and more words. It's amazing to discover which words he can say and how that describes his interests and his daily life! It's also very interesting to see which words he says in English and which he says in French. For now I'd say he speaks about 75% English.
He spends almost 90% of the time with me or his father. I'm not surprised though.
At age two he is opening up to the world, building friendships in the playground, developing a relationship with his grandparents, and all of that communication happens in French.

It's hilarious to me when he brings home playground words. With the whiny accent of the little girls "arrête euuuuh " (stop it with a whine) "attends" (wait) "qui monte" (no idea where that "qui" comes from this means "that climbs, who climbs as in the one who climbs! )"caché" (hidden! )

It's so cute when he speaks French because he takes a little accent. I know my American accent isn't perfect so I guess he has one in English too. But I don't see it as an handicap.

He mixes a bit of both languages, so far I simply rephrase correctly, entirely in French if there was French, and then entirely in English. It doesn't take that much effort because he needs the repetition anyway, with being a toddler and all.. ;)