Since you're all wondering why the eggs were in the update, it's because all the lettered eggs were duped. The 'real' ones were all listed with no ' ' and were therefore hard to find and hard to add to a quest, so I added that in. The Auto-Collection eggs are being renamed as other items. The Egg quest for last year was added because I've been adding the special event quests that I can remember. I ended up working on the eggs because THIS year's eggs are also in the update. ;) (hint: as furniture)
These eggs were given to you once a day by the town moogles. That being said HOW THE HECK do you get them from logging mining or harvesting?
You could also mine/harvest/log them once a day as well. Your first swing of each game day would give you an egg in addition to the one your moogle gave you.