Unless your motivation is to use electronics to count the turns, the easiest way to count turns is to use a mechanical counter. You can get them cheap and they will give you 1/10 turn resolution with a range of 0-9999.9 turns. They work just like a mechanical odometer. The company I work for uses a simple setup just like this for their coil making needs.
If you have to do it controller based, I would simply use a cheap optointerrupter to get the pulses to count turns. Besides Nigel's tutorials, there is very extensive documentation on the Internet related to the standard LCD interface.
-Bill