A notice of filing isn’t a thing (in federal court, anyway).  Please don’t file one.

A notice of motion is a notice that sets a date and time for a hearing with the Court for a motion.  That’s the old way of doing things in this district.  A notion of motion is no longer necessary.  The Northern District of Illinois suspended the practice of filing a notice of motion a few years ago.  See General Order 21-0027, as amended.  Under the current rules, parties should simply file the motion, without noticing the motion for a hearing on a specific date. 

All of this is a long way of saying a simple point.  You don’t need to file a notice of filing, and you don’t need to file a notice of motion.  Just file your motion.