How should I go about this? Should I be worried?

Long story short, some stuff happened and we can no longer stay where we are so we're temporarily moving into my parents basement after the baby is born (within the next week or I'm being induced). There are 2 cats, a dog, a bird, and a turtle. They're getting rid of the bird as soon as possible though. Anyway I've been around all of them my entire pregnancy, so I'm not really worried about diseases and stuff like that (except the bird), but I haven't been there since Christmas, and I'm kind of worried the cats and dog won't react well to the baby since I haven't been around much. They're all total sweethearts around kids, but I've never seen them around anyone younger than 3. Should I be worried about bringing baby around them? And how should I go about introducing them to him?