Introducing the new baby to my puppy

Hi everyone, I'm hoping to get some advice on how to go about introducing my baby conure to my dog. I don't want her to become scared or overwhelmed or anxious due to his presence in the house and would love for them to get along.
Should I go about it slowly after she's settled into her cage and just introduce them to each other for a couple of minutes a day?
Should I wait a month or a week? Or I guess just wait until she's comfortable in the house?
It's really important that they get along, or at least that my puppy doesn't cost my new baby any stress by being in the same house. He has free range of the house, so he will most likely be entering the room she's will be.
Thank you.
Hopefully I posted this in the right place.

My two cents... Shut the door to your birds room until he is comfortable. Then if your dog can be trusted not to get overly excited start to slowly allow the dog inside the room
WHILE THE BIRD IS CAGED. I would NEVER trust a dog not to react to a small fluttery bird. My dogs are in their crates when the birds are out and the birds are in their cages when the birds are out...
My birds don't care about the dogs but the dogs also have zero interest in the birds. Neither are high prey driven breeds. Shelties, collies, etc are and caution should be exercised.

While Sgt. Pepper was still being weaned my pups were introduced. Kinda at day one but not face to face. They're NEVER allowed to interact but they are in the same room.

Pepper has a very large play cage and stand that she entertains herself on most of the time. My dogs are both seniors and one is blind. They stay asleep most of the day on "their" sofa. Even if I have Pepper on me they aren't interested in coming around. Too old to care?

If I'm going to leave the room I take one with me (both dogs or Pepper) - even if it is just a second. She will fly off her cage to look for me and even though the dogs seem okay I still will never trust them. They never have a chance to actually interact but they are in the same room if that makes sense.

Okay. I'm going to start introducing them to each other while she's in her cage.
My dog doesn't have a crate. I trust him to not attack the newest addition to our family. He doesn't have any prey drive, and has lived with free roaming rabbits, guinea pigs, and hamsters and never had any problems with any of them. He's really calm and doesn't go after any birds that fly into the house or any animals in the yard. My end goal is for my new birdie to feel comfortable in the same room as him just sitting there.For example, when the family is sitting in the living room watching tv or hanging out in one of the bedrooms. I want her to feel like one of the family and to be able to be with us. She's going to be living in my bed room, and I close the door at night so he (my puppy) won't be coming into the room at night. He sleeps with my mom in her room, and sleeps through the entire night. I just don't want him to feel that if I'm closing the door to my room all the time that he's no longer my baby and that I love her (my new birdie) more. I don't want anyones feelings to be hurt.

I want to stress how unpredictable animals are. Read through these forms about how many people have lost their fids to dogs or cats that have never shown an interest.

I TOTALLY know where you're coming from. I do. I didn't want to believe that my dogs would ever be that way but sadly I've read too many stories to take that chance. Please, please be careful and keep them apart. They can be in the same room but they can not interact. It just doesn't work. One day it backfires and you will never forgive yourself.

My poor girl is locked away from my husband's cats because they are just too evil and untrustworthy. Even in the same room as me, I don't trust them. I don't trust letting them around her cage even if she's in.

Some days when my husband isn't home I lock the cats in the basement and give Kyo freedom. But unfortunately the cats rule the house (they've been here 9 years unfortunately) and my husband doesn't believe it's fair to restrict their freedom regularly. But at least I know my baby is safe, even if we can only mostly let her out in one room in the house. I spend most of my time in there with her (about an hour before work, and about 2 to 3 hours in the evening) until she goes to bed.

I am getting a smaller cage for the living room so that she come downstairs with more room than her pak-o-bird has and still let the cats out, but I will not leave her in this cage unattended. One of the cats was 35 pounds (now 26) at one point and he can so easily knock even a big iron cage over.

Don't take any risk.

Yes. Peppers cage is taller than I am and my dogs both weigh under 20lbs. I'm able to leave them out around her cage because they can't reach her area of the cage and can't knock it over even if they stand against it.

She has an upstairs cage for sleeping and a downstairs day cage. That's her big, fun cage.