I'm surprised that some things didn't crawl out of his pockets on their own, lol.
Tennant's doctor went through some stuff that he had collected over the years. Matt's did too when he used that recognition gizmo to find out what the invisible creature was that was running around where Vincent VanGogh lived. When he was testing the device he used it to identify himself. It showed pictures of his former incarnations.
The Doctor is always pulling things out from strange places, lol. I bet his dimension pockets were such that he just had to think of an item and it would come to his hand. Well, that is if the item was in his pocket to begin with. I think he's a closet hoarder. And what a place to have to hoard things! His pockets and the tardis. No wonder he hated to eject parts of the TARDIS. And, when the TARDIS crashed landed at the beginning of Matts reign he had been dumped into the swimming pool, ah... The bath, lol. And said that it was in the library?

But that was some crash. Geronimo ! Yes, I went there, lol.
I need to watch some more classic who.
MCH