Dodd. Hairy Maclary from Donaldson's Dairy

Hairy Maclary from Donaldson's Dairy is a children's book by Dame Lynley Stuart Dodd, with art by the author, published in 1983; it is the first in a series of books about a dog named Hairy Maclary. It is available at the Internet Archive.

Here is a YouTube read-along:

The story, told in rhyme, tells us about the companions that Hairy Mclary gathered when he went on his walk, starting with Hercules Morse, as big as a horse. The story is told cumulatively, as you can see here

As they walk along together, they encounter a cat, and they all run home back to bed. Score 1 for the cat, 0 for the dogs! Ha!

There's not much of a story here, but the rhyming is very cute, and the accumulation of the companions is fun. In the second book, Hairy Mclary has to shed his companions one one by one: Hairy Maclary's Bone.