Never seen him in anything but shorts.
I'm sure there was an outdoor family photo last year in which he was wearing jeans.
The handbag has become part of the Queen's image. There was a photo a while ago where one of the little great granddaughters was holding it.
And she probably needs it in some of the royal residences, it's probably a long way to trek back to her bedroom to fetch a hankie or her reading glasses or some lip salve; easier to keep everything with her in a handbag.