Sadly there is no such thing as humane dairy or eggs.
Cows are identical to human women when it comes to milk production. They are therefore forcibly impregnated (in hardware called "rape rack"), then they carry their child for 9 months and the calf gets taken away in first 24 hours - as they'd "steal" the milk we want to sell. Cows visibly grief when that happens. If the calf was a boy he's sold as veal, slaughtered in his 6th week of life. If the calf is a girl she follows her mom's path. Lastly when dairy cow is spent - can no longer produce milk after 5 or more pregnancies - they are slaughtered and their meat is used for pets (dogs and cats) food.
There are rarely dairy farms that avoid some of those actions but none that does not do any.
As for eggs, to produce hens we need to breed chickens. Statistically half of them are cocks and are useless for most of the industry so they are macerated (blended alive) as soon as they are born and turned into pate or pets food. Traditionally hens have been able to lay one egg per month. Using selective breeding, feeding methods and artifical light they now do it nearly every day. The process is very painful and impacts their health a lot. It's similar to period of a human woman. Imagine having that every day.
So in short, if you dig a bit all animal exploitation we do is abhorrent, especially when we now know it's absolutely unucessary and done for pure pleasure. Any other abuse wouldn't be treated so leniently by so many people.
I understand this argument, but it doesn't apply to all meat I suppose. Conversely, eggs/dairy also often involves cruel treatment.
Not to say your choice is wrong, I'm just wondering what's the most rationale way of dealing with these aspects.