Serious or bored? Nevertheless, the kind of approach is why Bhikkhus are not given to share food or thing to householder, or "keep" them, take care of them, not to speak of animals, good householder.
Why seeking association with pets at first place? To gain an existance of a special animal in a vegan/vegetarian existance?
As for the moralistic-issue, maybe Ven. Kassapa is able to wake up good householder from his dreams:
One day, however, when Pipphali Kassapa was inspecting the fields, it happened that he saw, as if with new eyes, what he had seen so often before. He observed that when his people plowed, many birds gathered and eagerly picked the worms from the furrows. This sight, so common to a farmer, now startled him. It now struck him forcefully that what brought him his wealth, the produce of his fields, was bound up with the suffering of other living beings. His livelihood was purchased with the death of so many worms and other little creatures living in the soil. Thinking about this, he asked one of his laborers: "Who will have to bear the consequences of such an action?" — "You yourself, sir," was the answer.
Shaken by that insight into kammic retribution, he went home and reflected: "If I have to carry along the burden of guilt for that killing, what use is all that wealth to me? It will be better if I give it all to Bhadda and go forth into the ascetic's life."...
If it was a practical question: there is no problem in catching them in "box-traps", releasing them elsewhere.
To avoid them settle, like with all, don't give ways to food and shelter places.
Living with generations of forest-rats and snakes afyer them, and... my person made a wall around the rats favorite place in the cave (to more avoid falling dirt, babies snakes on ones rest and sleep place), seperated them, leaving them the generation old dwelling of their clan, and they became a seperate entrance from and out into the forest.
[note that this isn't given for stacks, exchange, other world-binding trades or for kepping, racing and feeding on pets, nor as food for pets]