Read this thread.... Can't stop laughing
Classic!
I suggest you find an avian vet that MAY spay / neuter your hens & rooster.
Then you will remove the whole reproduction process BUT it will be expensive if you can even do it.
Also strict vegan diets can be detrimental to your health in the long term (just as a heads up) since humans are omnivorous & require certain proteins, amino acids etc which are found only in meat.
It depends on your location & ancestors diet whether or not you thrive on a vegan diet.
Personally I know 4 people who made the vegan switch & only 1 did well on it & she was of Chinese descent.
The other 3 friends who did the switch (english & african descent) were fine at first but then began to complain of "cravings" for meat & health / concentration problems began to show from poor diet about 3 years into the switch... that's how I found out from discussions with them after one visited a nutritionist.
They were disappointed in themselves, but relieved to. One friend described it as "like needing a fag, but its meat!"
Personally, I struggle to eat large amounts of vegetables & thrive on a mainly meat / animal sourced diet with a little veg on the side & I come from a long history of self meat farmers. Eating too much veg upsets my stomach & I feel ill if its all I eat for a while. So I could not opt for Vegan even if I wanted to.
Its not always a choice for some people.
I hope you can sort out your birds & don't feel guilty if you do decide to eat the eggs. Its not as though your supporting battery farming etc. You are sourcing your own food & you should be proud of that.