In Like a Lion Out Like a Lamb by Marion Dane Bauer, illustrated by Emily Arnold McCully

From chapters.ca:
In this exuberant, rhythmic story, March, personified as a lion, enters a boy's cozy home and leaves a trail of snow flurries and muddy footprints. The boy calmly observes the pouncing, howling, growling lion until in comes the lamb on the crest of a huge sneeze. Escorted by grass, flowers, sunshine, showers, and animal babies, the lamb brings forth spring.