My bunny always looks so bored but he chews everything when he's out of his cage.?
You need to bunny proof an area where he can exercise. Remove cords and other tempting items from reach or cover them. You'll find lots of helpful tips here: http://bunnyproof.com Your rabbit should be spending 6-8 hours a day out of the cage.
Pick him up and nurse him. Put a soft towel on your lap put bunny on your lap and pet him while watching TV. All the rabbits I've had seemed to love it.
Of course he is bored. Any animal kept shut in a cage alone is bored. Make a place for him outside (with a shelter) and allow him to run around for a couple of hours during the daytime. Its a rabbit, and rabbits can stand a bit of cold you know. Wild rabbits graze outside even in snow and ice and live underground and their burrows do NOT have central heating.