I play this too actually! You are playing it just fine, the only thing i would reccomend is instead of b4, you should 0-0 then go for Re1, and then nbd2, followed by nf7 and then bring your knight to g3. After this you can start expanding on blacks queenside with b4, a4 etc.
Italian Game Insanity!

Even though your line is the computer reccomendation, statistics say that white has a much better chance of winning if you play the way i told you.

well anyhow, it goes like that most of the games, except that knight goes to g3 more than e3. I was more focusing on white than blacks moves

Now I have always thought you can play any opening you want! but why would you play the italian and not the Ruy Lopez?

I guess there is no point in expanding your queenside. The bishop still attacks f2 (the main point of Bc5) while there's some chance your pawns will get overextended later on.
Hey, everyone! I was wondering what you thought of this opening for White. I play it often, and it usually scores well for me, but are there any moves you wouldn't recommend or I should be concerned about?