I'm going to quit my job while on paternity leave
Do you already have a back up plan?
I was going to pick up a new job after I go back from work.
You should give notice when you quit a job. However, it's okay to quit to take care of family like when you have a new child.
I'm going to fake an accident so that I can get delayed on work today.
I think that you should give proper notice.  It is not okay to quit and leave everyone else to scramble and find your replacement.