"Slap around" usually means to physically assault someone. "Push around" is used to describe dominating behavior where one person is treating another badly by controlling them, telling them what to do, bullying, etc. This refers to the behavior but also implies the attitude behind such behavior. For example: "Don't let them push you around." means "Don't let them bully you." or "Defend yourself against them." which encourages fighting against both the bullying attitude and behavior. Hope that helps!

It means to physically abuse someone.