Baby Pigeon And Scary Construction

[wings of miami]

Hello, I was surfing the net looking for information about pigeons . I live in an apartment on the 10th floor in Miami, Fl. A pigeon recently made a nest on my balcony floor (which has fake grass) and she laid two eggs. She moved the nest a few times during the course of 3 or 4 weeks, and she sat on the eggs everyday for all this time. Last Tuesday and Wednesday, the eggs cracked and to little pigeons emerged. One of them disappeared (we don’t know if the mother killed it or what happened) Anyway the one that survived is with its mother on the balcony. She is feeding it, and we sometimes give her bread. My building is going through renovation and they are going to knock a wall of the balcony and I am scared that the mother will be scared away from the workers, and she might abandon her baby. I have no idea about what kind of pigeon it is, and I know nothing about pigeons. My husband said he could make them a bird house, but we need some advice. Here are some pictures of the pigeon.

I think the workers will begin knocking the balcony wall down in two or three weeks. We are animal lovers and would like to do everything possible to help preserve the life of the baby pigeon.

Thanks for your help.
Andrea and Sebastian