The way I got my animals. . . several different ways :3
With Dizzy, my poodle, we got her from a pet store after my last dog died. Simple as that.
With Pooh, we adopted her from an animal shelter. She looked like they hadn't given her any 'wet' dogfood in a while, and we took her home and got her fed. She was rescued from a home with over 200 animals in it ._. poor thing.
With Pearl, she was a stray living in the sewer outside my house. She crawled into my lap, and wouldn't leave o.o it was odd. But I got attached to her immediately, and convinced my mom into talking my dad into letting her stay the night. She was starving and dirty, and had fleas. She ate like six bowls of cat food - no exaggeration, unfortunately - in the first day, then fell asleep. So we took her in as a stray, and have had her healthy for about five years now.
For Macy and Jackson, when my cousin Kimmy moved in with my grandmother, she couldn't keep all of her cats. So she gave these two to us. That made me happy :3 I really hate Kimmy.
With my Rabbits, I got Oreo from a family of breeders at school, and my mom bought Skye from a pet store when we went to buy cages and such. Then we bred them, and that resulted in nine smaller rabbits. We got rid of most of the babies, giving them to the humane society, and we still have Oreo, Skye, Smudge, Fidget, and Magyk.