I wouldn't bother with that TDF as the gearing looks pretty naff for hills. Sure you can get fitter, but it's always nice to have extra gears if required. Shame there are so few road bikes with triple chainsets these days. Even though I am fitter than I used to be I do not regret getting a triple ever. I spend most of my time on the middle ring which offers a brilliant spread of gears for most of my riding. Having the granny ring as a bailout option is superb and quite often used in my case.
I went from a hybrid to a road bike. It was probably slightly lighter than yours, an old Marin Mill Valley ALP, this had a triple fitted but not mountain bike gearing like some of the heavier hybrids do. It is probably closer to a flat barred road bike anyway. I decided that I wanted my road bike to have similar gearing to my hybrid as it seemed the logical choice. Hence getting a triple equipped road bike.