I strongly recommend Continental, stopping in Houston, in order to be on a widebody the whole way.
If you leave LAX on the noon flight, you will be on a 767-400 from LAX to Houston and then a 777 from Houston to Paris. This will be the most comfortable way to get there.
Originally Posted by luxuryvacationclub
Do I receive same milelage credit whether I book it on CO website or my Travel Agent make reservation for me?
You will get bonus miles for your first purchase on the CO website, so I'd suggest doing it there.