Buns can get into places that you wouldn't expect, and cutting through a power cord could have terrible consequences for the rabbit. One way that you can encourage this in a safe manner is to provide the rabbit with cardboard tunnels. You can make these out of the footing forms that are available at most home improvement stores. Grooming Rabbits are very clean, and will groom themselves continuously. They will also groom a bonded companion.
Problem is that they can get lots of hair in their stomachs during shedding seasons.
You can help by grooming the bunny yourself. Using a brush, or even a damp hand, can get lots of excess hair off the bunny. But by grooming the bunny yourself, you minimize the problems of hair in the stomach. Rabbits can't cough up a hairball like a cat can, so the hair gets stuck in the stomach. This tends to pick up the hair and move it along in the digestive system.