Depending on the year of release of the attachment can vary.
Front bumper
-if there is, disconnect the harness connectors with the fog lights.
-disconnect the vacuum line from the tank.
-remove the bolts with a Torx head that attach bumper to mounting brackets.
-remove the bumper from the vehicle.
Rear bumper
-for vehicles equipped with the towing device of the trailer, remove the hitch before removing the bumper.
-Unscrew upper nuts that attach bumper support brackets to the bumper.
-Unscrew lower bolts that attach the bumper to the supporting brackets of the bumper.
-remove the bumper from the vehicle.
-if necessary: remove the support brackets from the rear bumper sill.
How to remove front and rear bumper Jeep Cherokee KJ Liberty (2001-2007)
How to remove front and rear bumper Jeep Cherokee KK Liberty (2008-2013)