You can do that with the plunger. Follow the instructions in the section above. Now that the water is out of the bowl using your channel lock, unscrew the water supply tubing from the toilet. Be careful not to break the tubing so you may use it later. Remove the two bolts at the base of the toilet.
Some older models have four bolts at the base.
In either case remove all of the bolts from the base of the toilet. Also found on the older models are bolts that anchor the tank to the wall. Wall anchors are normally found on toilets with tanks not directly attached to the toilet. That is another matter all together. All this considered, facing the wall, grasp the toilet bowl on each side as close to the tank as possible.