The differences between the Directors cut and the Final cut are quite small. Certainly nothing to worry about and they're all 'good' changes.
There are so many stories around the cuts that it's hard to keep track. My favourite is that the 'original' cut that was intended for cinematic release (after being replaced by the 1982 cinema cut, with the voiceover, etc) was discovered by a few enthusiasts and played at some cinemas throughout the 80s and early 90s. Scott got wind of this and made sure that it was commercially released.
A few years ago, there was a great documentary released about 'Blade Runner'. I've watched it few several times.