Bc4 is an inaccuracy at best, :P (at least according to my book on the King's Gambit, by GM John Shaw)
h4 is the other main option, but you will see that Nc3 is a rarer move. Some people, such as Shaw do not like Bc4, but it is far from proven either way. part of the reason i enjoy the opening. In both my opening books Bc4 is a suggested move. I do not think there currently is a right answer here
Bc4 is an inaccuracy at best, :P (at least according to my book on the King's Gambit, by GM John Shaw)