I'm writing a program/service for bike shops and I wonder what's the typical case: do the LBS' you frequent/own/work/... have an internet connection?!
Yes, at least here in Denmark almost every LBS have internet access, and most have a website too, some have their own shop website while others are part of a chain of bike shops who also share a common website.
If yes, what kind of connection? (slow 56K dial-up or DSL/Cable?)
Dial-up? Does that still exsits? I don't think I know a single person with a dial-up connection anymore, even my old parents have switched to broadband a long time ago. Just about everyone (private or business) has broadband in some form, like ADSL, cable or fiber. (and a few has wireless broadband like WiMAX or 3G).
And what kind of computer do they have (15 years old windows 3.1 or reasonaly recent with at least XP)?
Windows 3.1? Have anyone actually been using that for the last 10 years? I think Windows XP is the most common OS at the moment and some have Win 2000 and even fewer might still have Win 98 while some who have bought a new PC might have Vista. Altough Vista haven't really catched on in the business world and some experts say it never will replace XP/2000 but (large) buisness customers will wait for the next Win OS before they replace XP/2000.
But I think it varies a lot from country to country. In some countries internet is almost as common and widespread as TV, while other internet is not nearly as common in other countries.