I think this is my best game I've played so far on Chess.com http://www.chess.com/echess/game.html?id=11778520

What did I do right and what did I do wrong? I'd like some input and advice since I'd like to improve my game. 

Thanks.

I think you got lucky here.

After 3... c6 4. Bc4 you are basicly playing the white side of Guico Piano with the Black pieces, interesting... Nf6 then d5 seems like it would be a good plan to gain central control and prepare castling.

4... Qf6 hoping for a cheap mate?  Better to finish your development and castle before attacking.  Developing you queen too early can be dangerous.  Also, no neither of you knights can access their best squares.

6.. b5  Probably a good time to castle or play d5 instead.

8... f6, 9... g5  Where are you going to put you king?  White couls possibly sac a peice on g5 for a strong kingside attack here with Qh5.  Being down a peice wouldn't bee too bad here because white is almost fully developed and you queenside pieces are still all on thier home squares.

10. I guess white goes for it...  Hoping for a fork on f7?  I think 11... Rf8 is OK here.  Qf6 may be better here, forcing the knight back to f3 to guard against mate and prevent being captured.  This blocks the white queens path to h5.  As it stands Qh5 is still really strong for white.

Good job after Nxh7.  What would you have  if white had castled intead?  You are up a peice, but you have poor development and your kingside is in taters and you have nowhere to run with your king.  In a dynamic situation like this those factors could be good compensation for the bishop.

Nice

Nice!

Your opponent played an incredibly stupid game. Way to take advantage of his undefended king. 

yes strong play but your opponent played weakly.

After 11.  ... Rf8 i would have played my queen to the h-file, check

if you interposed with the knight i would have castled, if yuo moved your king i would have forked the queen.. although the few moves preceeding, if i were white and basically fully developed or on my way to be i would have never have traded a bish for 2 pawns

Do no play Qf6

Play Nf6 and d5 win powerful tempo