How can one attack better in chess?

One rule of thumb is that a successful attack requires three more pieces than the opponent has available for defense. Too often, lower-rated players try to attack with only two pieces (such as the Scholar’s Mate). The defender can easily repel such premature attacks and the attacker loses time when he has to retreat.

Signs that you may have an attack include open lines (files, diagonals) and weak squares around the opponent’s king.

In the game you showed, you have the makings of an attack—four pieces aimed at his king, a half-open file, and weakened squares around the king. He has a bishop and a knight for defense. But you can sac a rook for the knight, which removes one defender and opens the b-file for your other rook.

You started by offering to exchange bishops. No need to remove that defender. If you open the b-file and move your other rook to b1, his bishop is more of a target than a defender.