Hi Ladybug,
Welcome to the forums!
Animals are connected to the Earth and spirit world and have an intuitive sense of good people. It sounds like they know that your house/yard is a safe environment where they will not be harmed. It also sounds to me like your vibration is high enough to attract them, which is great.
Have you checked out any of Steven Farmer's books? They would probably be right up your alley. Here is a link to his most famous book -- "Power Animals":
Hay House, Inc. | Product Details | Power Animals
-Erica