First, you'll want to snuggle with them. Then, you'll want to gather the townsfolk and pitchforks to hunt the monsters down.
The Star-Nosed Mole
How cute! Wait, what's that on its face?
Oh, nothing. Just an ungodly protrusion of innards and outards and slime.
The Aye Aye
Don't you want to pet it?
You should have drowned it when it was weak. The grown aye aye feeds on your dreams.