I've been a Who fan for 30+ years, I'd recommend starting with the nuBBC series (Christopher Eccelson), it's really somewhat of a soft reboot,
Except when they make occasional references to stuff that came before it. But the way Doctor Who
is structured, is that the show reinvents itself with each new Doctor or the arrival of a new companion anyway.
and you wouldn't need to watch anything that came before to understand what's going on.
Which is generally the way Doctor Who
has always worked since 1963. The majority of Whovians never saw the program from the very beginning, but joined it much later on and then
became interested in finding out more about the Doctor and his world.