Lo-Fi Games

I've seen a few squads running around with them, slavers mostly, and I was curious to know if we(the players) have the ability to acquire animals yet?

in the Beta yes.

Would this be through stealing eggs, purchasing, or perhaps through other means?

Only method i'v come across so far is buying them at a Holy farm. You can talk to the.. farm leader or whatever he's called and there'll be a dialog option to buy his bulls or dogs.

Currently the only option is to buy them from a farm.
You can get bulls and dogs.
You can also buy back packs from the farmer for the bulls so they can carry stuff.

Thank you all for this information! I have one last question, are you able to breed animals and make them reproduce yet? Is it worth it to buy a male and a female bull to make bull pups? Or is that not possible?

No that isn't possible (yet?)