Here are a few tips to effectively engage with your newborn while having a dog at home:

1. Introduce your dog to the baby gradually and under supervision.
2. Teach your dog basic obedience commands like "sit" and "stay" to help keep them calm and under control around the baby.
3. Make sure your dog has a designated space in the house where they can go to feel safe and secure.
4. Never leave your baby alone with the dog, even for a moment.
5. Make time for one-on-one interactions with your baby when the dog is safely occupied or out of the house.
6. Consider using baby gates or other barriers to keep your dog and baby separated when necessary.
7. Always supervise your dog and baby when they are in the same room together.