Ok. Eggs aren´t a problem, or anything to worry about
Once you have cared for your bird while laying, you will feel much better in the future about eggs. Are there dangers? Yes, but no need to be fearful. Just be observant.
So, you definitely have one hen. If you want to know if you have two hens, or one male, one female, you could post pics like I said before. It will be handy to know, because if you have two hens, you won´t need to boil eggs.
To remind you of your own words...
I am nowhere near prepared to take care of baby birds
So what do we do?
First, get those eggs and boil them. Bring a pan of water to the boil, and place the egg in for a few minutes. Mark it with a sharpie pen or a food dye pen, just a dot will do (so you know later when there are more eggs which are boiled or fresh).
Next you have to choose, either put the egg back in the corner, or take it into the cage and place it on the cage floor in a corner. I think
@finchly or
@Birdbabe have said something about this before, so hopefully someone can tell you which is the best option for where to leave the egg.
You can allow your bird to ¨brood¨ that egg for up to 3 weeks, but no more. If they lose interest in the egg and stop tending to it or sitting on it, you can remove the egg(s) sooner. I like to wait two days of abandonment before removing eggs, just to be sure.
Don´t buy a nest box, it´s not neccessary.
But do I just leave the birds out of their cage all the time now?
Carry on as before. Sleep in the cage, allowed out of the cage just like always
Please do post any questions you have or concerns etc. There´s lot of people around here who deal with eggs and can offer advice.
@Tiel Feathers