This entire puzzle is a reference to Dr. Seuss. The main mechanism is a reference to There’s a Wocket in my Pocket, and a few of the creatures mentioned are actually taken directly from that book.
For each creature listed, it is simply necessary to find a rhyming household object or location where it could be. For example, the first creature, BiThone, rhymes with iPhone. A list of all locations is as follows:
iPhone
Chimney
Armchair
Napkins
Lamp
Iron
Clock
Kitchen
Toaster
Hall
Icebox
Rug
Toothbrush
Yo-yo
Table
Office
Dishwasher
Attic
Yard
Reading the first letter of each answer and taking the paragraph breaks as spaces between words gives the clue phrase I CAN LICK THIRTY TODAY. This recalls another Dr. Seuss book, and gives the final answer TIGERS.