Please do not take offense, but why is it about you? They are the ones who reproduced, Not you.
Your job as a keeper is to SUPPORT the animals so they can do what they do naturally, you know, whatt hey do without you around.
If those animals were in nature, they would STILL BE REPRODUCING, or getting consumed by something.
Its kinda a simple problem to solve, they reproduced with you trying, and they reproduced without you trying. Which by simple logic means, its was not about you trying.
This is the point that folks don't get(here, very often) these animals have been reproducing since before man was a monkey, muchless since you came around. Its not about you. Once you understand that its not about you, then you can really start to learn about the animals and what they are capable of. its about them
In reality, your suppose to support their natural abilities, if you do not want babies, then don't hatch the eggs, its that simple, but to try and subdue them to a point they cannot reproduce, Should in all rights be illegal. If you kept your dog or cat or horse so poorly it couldn't physically reproduce, you would be cited and fined, Or even more servere punitative actions taken against you.
You did not do that, but many others do. I hope you see my point. Husbandry is defined as support. To support= to husband. As a keeper your suppose to support your charges, not limit or control them. And congrats and best wishes