[alanX]

I've always thought 好き is something a dude would say to the girl he likes for the first time, (like, confessing his feelings, as in movies and such)
And the first few dates.

大好き is something that the dude would say to his girlfriend after dating for a few months...Or the way those preppy chiks say about everything that draws their attention (Like, omg you bought me somthing expensive omg i love you so much omg like totally)

and 愛してる is...well...I haven't really thought about it too much. You don't hear it too much in real conversation. But I guess my interpretation of it would be something like a man would say to his wife on their anniversity after 50+ years of marriage.

I've been wrong before, so if I am again, feel free to correct away. Just my interpretation of the words.