I agree with CP3S; the Revived Series sometimes does have its campy moments, which the old series ironically had less of.
In any case, if you want to are interested in Classic Who (1960s-1980s), start with the first episode of the series then jump around however you want. If you are interested in Modern Who (21st Century), then I would recommend starting with the Fifth Series, as said before.
Funny, you should mention that Puggo. Initially I personally wanted to start with Tom Baker, but a friend convinced me to start with the American movie and even lent me his Region 2 copy (wasn't available here at the time)... In any case, I don't recommend that route.