I would put him in the shed at night it gets very cold mine are kept in a garage with a nice thick blanket over the hutch to keep them warm. I would not put a hot water bottle in if he can get near it he could burn himself .You can get a thing called vet bed you can buy it here
www.bunnybazaar.co.uk also put a sock over the water bottle this will stop it from freezing . Also I put a layer of Russell rabbit chopped hay from wilkos down and cover it with
wood shavings in the living side of the hutch to keep them warm. And be careful with grass when it freezers at night and the rabbit eats it in the morning it can make them very ill.