Neither is exactly correct, at least for US English, but this is rather subtle. The question indicates to me that you're already using English at an advanced level!
I think that #1 is grammatically correct, but no one speaks or writes that way. You would be understood, but sound odd. I'd recommend not using it.
#2 is commonly heard in informal speech, but not quite correct eith
wait what?! heathily or healthily ? i think the correct is "I like to eat healthily" but you cannot hear it in Canada or some states or nations of america for they are used not to say the right word because that is their language and they know the right.