Rabbit Bristle Brush This brush is perfectly sized for rabbits (and other small animals). It gently removes dirt and loose fur from your bunny's coat to leave them with healthy, shiny fur - and your furniture fur-free! This guide by The House Rabbit Society, explains how to groom a rabbit. It is important to brush a bunny regularly to stop them from ingesting fur. Unlike cats rabbits cannot throw up hairballs, instead, they can create a painful and possibly fatal blockage.