I also bought an 01 Speed Triple about 3yrs ago. My first bike was a Honda 750 Nighthawk. Traded it in on a dealer demo (3000+ miles) 01 Speed Trip. The difference was astonishing!
Just being a cheap SOB... I have never bought any vehicle brand new. After I bought it / started riding it, I met several other triumph riders who had taken it for a spin or knew more about its history. Apparently it was origianlly Nuclear Red (Metallic Flamingo Pink) and the dealer couldn't find anyone secure enough in their masculinity to ride a pink bike. The dealer swapped out all the body work for the black color.
My friends affectionately refer to it as "The Black Whore" becasuse almost everyone in K'Town has taken it for a ride. It has been a GREAT motorcycle, little to no mechanical problems aside from regular maintenance.
IMO, the 1999-2001 body style is the best looking of the bunch (still drool over the 05 body style though). The only other triumph that I currently drool over if the 675 Daytona and still trying to convince "She who must be obeyed" as to the need for anotherf street bike
The saving grace of the Speed Triple is lower speeding tickets, can't take the wind buffeting beating of speeds in excess of 100 for long!
Hope yours provides as much problem free pleasure as mine has....