While I have not looked into issues and laws specific to Ireland, there are aspects of commercial animal agriculture that can be applied universally. Animal agriculture is a business and for a business to be profitable, it has to be run a certain way.
When it comes to dairy, every time a person consumes it, there is a calf that is not. Like humans, cows only produce milk to feed their young. For the cow to continue to produce milk, she must be impregnated continuously. Otherwise, like a human, she would stop producing the milk. Every single dairy cow has had their child taken away from them, multiple times. Female calfs become dairy cows like their mother, male calfs become veal. There is nothing humane about that.
When it comes to eggs, wild chickens only lay about 10-15 eggs per year. They do this for the purpose of reproduction and in the wild only do this during breeding season. It is a very energy intensive process that takes a toll on the body. In the egg industry, they have been bred and their environments developed so they will lay closer to 300. This obviously takes a toll on the chicken's body.
And when it comes to meat, there is nothing humane about the unnecessary slaughter of animals. I don't think much more needs to be said about that.
When it comes down to it, in the developed world, there is no need to consume animal products to be healthy and meet nutritional needs. So any consumption of animals products is unnecessary exploitation. It is taking away their freedom and contributing to their suffering in the name of tradition and pleasure.