How does Macbeth avoid connecting the murder with himself?

The murder of King Duncan is exposed in act 2, scene 3, when Macduff tells Macbeth that he has an early appointment with Duncan. Macbeth, who knows Duncan is dead, tells MacDuff that he is still asleep. Macduff enters the chamber and reemerges horrified, because he finds Duncan murdered.
Macbeth deflects connecting the murder with himself by saying that it must have been the chamberlains, who he claims he found with bloody daggers. Macbeth then says that he was so enraged that he killed the chamberlains. Macduff is uneasy about Macbeth killing these men, but Lady Macbeth manages to divert attention by fainting. Duncan's sons are so worried that they will be the next victims that they decide that they had better flee the court.