BydoEmpire

IMHO, the best entry point would be the start of the 2005 reboot, "Rose."  The first season is a little bumpy, but fun, and Christopher Eccleston's Doctor is extremely entertaining.  The writers assumed no one watching knew a thing about the earlier series, so there's no worries about having missed important information.  And while I very much like that first season, the show only improves from there (for quite a long time, anyway.)

Do you want to watch the "classic" or modern version?  For the modern, I recommend starting with either 9th, 11th or 13th Doctor (first apperences) since they also start with new companions which makes it easy for new watchers to follow along.

I do not recommend watching the very first episode with the First Doctor, too many missing episodes & it's too old fashion for current viewing tastes.  If you remeber seeing any from the PBS days (70's & 80's), then start with those first.

I totally agree with that.  "Rose" is a great intro.   Christopher Eccleston is one of my favorites as the main character (The Doctor).