Is your bedroom heated? Is the window open? Do you have an outdoor draught free, dry insulated space where Timmy could go?
Could you give him a second level so that he can get more space that way? Could he have his cage open inside a puppy pen with free range time when you are there?
Peggy and Tonic are bunnies? If so I would move him to the living room and then have a solid barrier for when they are out eg a sheet of cardboard. Not being able to see each other should prevent any problems, I imagine they'll already be aware of each other by smell anyway.
The other option would be if you've got a separate room eg a porch or conservatory that's cooler or you could gradually lower the temperature on - that would allow him to adjust
How long have you had Timmy? Is this new behavior? Is he rattling because he is bored?
I dont know how people sleep with rabbits in their room! I know lots of people have them in bedrooms but I had to have Katie in mine for 2 nights when my dad visited (because of his dog) and she just crashed around and caused chaos all night!
Does he need a cage if he is going in the kitchen - how about just a litter tray and block the kitchen door off with a stair gate - then you can still get to your pots and pans!
x
He is a new bun, we got him from a girl who is going through a rough time. Weve only had him a week. We didnt plan on having more buns hence the lack of space till the warmer weather. He does have to have a cage, I cant risk him chewing my kitchen cupboards x