Matt Smith May Be Hot, But He Can Get Cold
It seems that not only 8th Doctor wants a costume change, Matt Smith (the 11th Doctor) is reported stating that he would like some changes in his costume. Specifically, a warmer coat, perhaps in addition to his tweed jacket.
As for a hat, he said he wanted a hat back in April when he was in New York for the premiere of the 2010 series of Doctor Who. So this comes as no surprise. We already know that fezzes are cool.
Television - News - Matt Smith wants 'Who' outfit changes - Digital Spy: "'I know I want a coat,' he said. 'You get cold in only a tweed jacket. And I want a hat. Not all the time. Just now and again. It feels Doctory and right for my Doctor. I think it can evolve and give it that variety.'
Smith also joked that he could start adding props to the costume.
'I think with this Doctor, you never know what he's going to do or say, or what he's going to turn up in in the morning,' he said. 'He could have a flamingo on his shoulder. Have you ever seen the Pink Panther where Peter Sellers has the parrot on his shoulder? I'd love to get some sort of pretend parrot on my shoulder because Peter Sellers is my hero. I'm working on it.'"
As for a companion for his shoulder? I was going to recommend that the Doctor returns to Calufrax, the 'pirate planet' and take that mechanical parrot from the Captain (Bruce Purchase) for his shoulder, but I don't think that is possible (the whole thing about fixed points in time and all and the fate of Calufrax (no spoilers)).