If you watch any of the animal welfare documentary, any form of industrial cattle farming is vile and cruel.
You just had a baby, imagine someone taking your DC from you, leaving you between two metal panels and hooked to a machine to squeeze your breastmilk out. To produce milk, a cow has to give birth and when after several month she stops, she is inseminated again to become pregnant and the whole cycle starts again. Roughly six times before ending in your plate.
Forget about green fields and grazing around. The animals stands in metal barns and even if there is a grid, they usually stand in their own shit.
So from the animal cruelty point of view, the dairy industry is just as bad. The slaughterhouse part is just delayed and the life of the animal just as miserable.
I eat WFPB, whole food plant based. I don't like the term vegan, because the focus is on what you keep out not what you put in, so a doritos and chips diet is technically vegan but so unhealthy as are many of the vegan versions of cheese, burgers.
My diet choice is guided by health reason. I have a genetic 60% risk of cancer, I am trying to prevent cancer by an anti cancer, low protein diet.
Nobody can tell you be or be a vegan. Vegan need to be very well educated as it is very easy to become malnourished. IT takes planning and a lot of reading to do it properly and have all the calcium, iron, zinc, iodine and so on. I wouldn't recommend it now, as you just had a baby and you are maybe breastfeeding. What you can do, is starting to limit meat and especially processed meat, and when the time for weaning will come, start eating both lentils, beans, chickpeas in their natural form, cooked by you and not transformed by the industry into some alien food. Having a varied and colourful diet will benefit you and your baby.
Watch Fork over knifes, What the health, and other similar documentaries and then if you want move to the Vegan activism one. But start with the health. look at the Nutritionfacts videos nutritionfacts.org/video/how-not-to-die/ and make your own decisions.