Removing your bearing carrier is something everyone should know or be able to do, as these bearings require service atleast once a season.
You will need a few simple tools to get the job done:
1 Large pipe wrench or an adjustable wrench that will open to 2 1/4 inches.
1 pair of Snap-Ring Pliers
I flat blade screw driver
24 mm 1/2 drive socket and ratchet for removing the wheel hubs(Size will depend on your model)
Pliers
2 new cotter pins
Allen head of varying sizes depeninding on the brand of atv
Before lifting the the atv off the ground, you will want to loosen the axle lock nut and wheel hub nuts as they require some substantial force. Leaving the machine on the ground so that you can use the rear brake to hold things still is a huge help.
Place the large pipe wrench/adjustable wrench on the inner axle lock nut and apply pressure downward. These large nuts are reversed threaded and usually confuse people who have never done this work. A friend to help hold the rear brake sure helps and make sure you have the machine in gear to also help hold the axle in place via the chain.
Once you have the axle lock nut and jam nut loosened slightly, remove the two cotter pins and axle nuts before proceeding.