The key thing to understand is that The Doctor is on a constant rotation. Some are really liked, some are not. So if you start watching one doctor, and for whatever reason it just doesn't hit for you, try another one. :)
Right now, for a brand new viewer, Disney+ is treating the new Doctor as "Season 1" and it's not awful. I think there are better seasons, but I'm biased.
It IS better than the last few though.
Free streaming services have a "Doctor Who Channel" which is all the old classic Who, I like to put it on as background noise.
If it's black and white, that means it's either Doctor #1 or #2. All the others are color.
White hair and velvet jacket? #3
Long scarf? #4 - My first and favorite.
Cricket Jacket? #5
Multi-colored jacket that makes no sense? #6
Straw hat and umbrella? #7
After that, #8 was a TV movie.
Then the show rebooted with #9. Bald, slick leather jacket.
#10 - Skinny guy, current popular favorite. Brown or blue suit, converse sneakers.
#11 - Kind of goofy looking, bow ties are cool.
#12 - Angry attack eyebrows.
#13 - First female doctor.
The show kind of started losing steam at the end of #11, and never really recovered. #12 and #13 were fine, but they needed better writers.
#14 - the current doctor on Disney+, has writers and show-runners from the #9 and #10 eras, so a big up tick in quality.