Complex sentence: Right after Bugs does what he thinks could be a suitable pose, he ponders this for a second, realizes that the manager intends to cut him open to be "stuffed," screams and begins a cartoon-long chase.
Split into simpler sentences: Right after Bugs does what he thinks could be a suitable pose, he ponders this for a second. Upon realizing that the manager intends to cut him open to be "stuffed," Bugs screams and begins a cartoon-long chase.