Okay, maybe this sounds crazy, but I feel like I have a connection to animals. Here is an example of why I think this: I went on vacation 2-3 years ago with my two dogs to Orcas Island near Seattle, Washington. We stayed there for maybe half a week (I don't remember) and we went to a parade that was fun. We were eating some food while watching and this random black pug comes up to me. I didn't even know this dog, so anyways, the dog comes up to me and sit next to me on my right. My dog is sitting on my left and I didn't know what to do with the other dog, so I petted it. I didn't have a dog collar or anything, does this mean I have a connection with animals or canines? Oh and every dog I meet, they like me when I meet them for the first time. Can someone give me an insight to what is happening?
It probably just wanted your food. Do not quick to assume that everything that happens has something to do with magic/anything ' out of the ordinary'. It was probably just a dog that wandered away from its owner(s) and was tame. Not everybody puts collars on their dogs, at home or at public events. If your dog felt threatened, then it would have showed signs. You should look into learning dog behavors and proper ways to approach unfamiliar dogs.
Familiar is short for familiar spirit and refers to, essentially, a spirit that helps you with your magic and other things to that effect. An animal familiar is essentially the same idea but with a living animal rather than a spirit. I'm pretty sure it's mostly Hollywood that's become common belief because pop culture has spread it a lot.