WE Market via Amazon offers the Velvet Animal Style 10-Piece Finger Puppets Set
with free shipping
. Outside of the price below, that's the lowest total price we could find by a buck. It features an elephant, rabbit, bear, cow, mouse, panda, frog, duck, koala, and dog.
A close price: Crazy-Store via Amazon charges $3.41 with free shipping. (Lucky Electronics via Amazon charges pennies more.)
Note that all of these deals ship from Hong Kong and may take several weeks to arrive.