Stands for "Fuck A Bitch Move".
It is when a guy makes a move on a girl he is trying to hook up with. Usually a smooth move used to get a certain girl/girls to go home with him.
"Hey bro check out that chick, I'm gonna go hit that FAB Move"
"Hey dude, distract her friend. I'm gonna pull a FAB move"
FAB move is an acronym: For A Bag move.
To make a move, plan or action to get money.
“I need some money, so I’m about to hit a couple FAB Moves”