Thanks Don ! I also think it could nice to learn both modern Greek and ancient Greek at the same time, just in case I want to visit some Greek islands (no actual plans yet). I see that the pronounciation must be different between ancient and modern, and I found this on Wikipedia:
The Greek alphabet is the ancestor of the Latin and Cyrillic scripts.[6] Like Latin and Cyrillic, Greek originally had only a single form of each letter; it developed the letter case distinction between uppercase and lowercase in parallel with Latin during the modern era. Sound values and conventional transcriptions for some of the letters differ between Ancient and Modern Greek usage because the pronunciation of Greek has changed significantly between the 5th century BC and today. Modern and Ancient Greek also use different diacritics, with modern Greek keeping only the stress accent (acute) and the diaeresis.
But that may make it too complicated to learn both at the same time... perhaps I'll start with modern and learn some basic words for travel and basic communication 
