Good for you for doing your homework first.

Please don't ever leave your dogs unattended with your bird.

Introductions and/or complete separation are very important.

Cockatiels are small birds. Delicate birds. A playful dog that means no harm can kill a bird from sheer shock alone.

When I was breeding parrotlets, a baby of mine lasted less than a week in her new home, when the woman left the bird on the playstand in the same room as her dog, and went in another room. From what she tells me, she thinks the bird flew off of the playstand to look for her, and when it landed on the ground, the dog (most likely NOT out of aggression, but more likely out of playfulness) grabbed the bird in it's mouth.

She heard the bird scream from the other room and by the time she got back it was too late. No punctures or bite marks on the baby. She died from complete and total fear, at 8.5 weeks old.

And it's always a good idea for a new bird owner to start out small. Especially new bird owners that live in apartments. A cockatiel is an excellent first choice. My first bird was a tiel. Best idea I ever had And as much as I love rescues, and always try to promote rescue, sometimes it is best to get a bird from a reputable small time hobby breeder who really cares about their babies, and will make sure your bird is well socialized, healthy, and a good companion for you.