Dog and Bear: Three to get Ready by Laura Vaccaro Seeger

From chapters.ca:
Uh- oh. Bear's head is stuck in a bucket. Oh, my. Oh, no. Fortunately Bear's good friend Dog is there to rescue him. Dog pulls, and he pulls, and he pulls - and still that bucket stays stuck. Things get sillier from there, as these two great friends get themselves into and out of tricky situations involving a very bouncy bed and a very messy room.