it's a series devised for children, and by extension a family show
Seriously? I never knew that! But given that I refuse to totally surrender the child in myself and become (ahem) a "grown-up" I can't tell you how pleased I am to know that at least some of my viewing habits cover me on both fronts.
As to continuity, I've long ago come to accept that it's a star to wish on. I can't count the number of movies and TV shows that can't even manage it from one scene to the next, let alone throughout a series. Hair styles, clothing, what people are carrying and how... it all changes like a game of musical chairs; so I try not to let it bother me as much as I possibly can or I'd be spending all my time looking for mistakes instead of enjoying what's in front of me.
As for clothing in particular, honestly... "Who" can say why anyone dresses the way they do? I've seen 60 year old men with tummies the size of beer kegs walk through casinos in "speedo" bathing trunks on their way to the pool and had a bartender comment that you could always tell when a man was in Vegas alone because no woman with a brain in her head would let them out of the room dressed the way they were! It's true of women as well. How many gals have we seen on the streets in skin-tight leggings or jeans and a tee shirt so tight she could barely pull it over a bulging body? And I'm not complaining about people with weight issues or anything. Everybody has the right to weigh what they do and dress how they want to cover it.... But in certain cases, don'tcha just gotta ask yourself what the hell they were thinking when they looked in the mirror and decided, yeah... that's good!?
So I've found the clothing I've seen on The Doctor to be pretty representative of the world and it's people at large anyway and just don't overthink it too much. I do love how when the "boys" regenerate that the first thing they do is run for a mirror to see what the "New Who" looks like..... "Am I ginger? I've always wanted to be ginger!" I
love it!!!!! And Matt Smith's choice to go for a long jacket and bow tie really rocked my view of the character in general. When The War Doctor started calling them "sand shoes" and.... oh shoot, what did he call the bow tie on MS's Doc?..... I loved that too!
I just toss it all into the pot of Timey Wimeyness that is The Doctor and let the good times roll! But then, I'm still part child anyway so what the hell do I know?!
And for everybody with their own sense of style.... The Bunnies!