Removing Pigeon Eggs on Balcony

I have just come home after being away for a week on a work trip. I always smoke on my balcony and went outside and noticed more pigeon feathers than normal. I went outside a second time and halfway through my smoke a pigeon flew off my balcony. As I didn't see her there before, I went over to where my poor dead flowers are in their planter and noticed 2 eggs. How do I remove these eggs? And how do I remove them so as to not get attacked?

By Kit