Ohhh! Congrats on the baby! I would have loved to have seen my BF at 6 months. I got him at 10 years old. My white front I hand fed as a baby, and he has gone through all sorts of naughty phases. I'd like to say he is an angel, but he'll bite people pretty easily. He doesn't get handled when he is hormonal. My BF has calmed as the years have gone on, and I handle him when is hormonal, as long as my husband isn't in the room.
The weird gyrations I might understand. If it is what I think it is, it is good. Luna is comfortable and feeling silly. Treacle, BF-extra large male, does something similar, especially when bathing. Bathing lets the tension out and he'll twist his head all around and then start twisting and tucking his head back and forth between his raised wings. I usually squeal, "SILLY! SILLY! SILLY!" when he does this. I have found I can start it by imitating the movement and squealing the silly call to arms. This is useful when I need to destress a situation. Also, he does a feather fluff and shake, and yells a sort of Whoa! sound that de-stresses him. All my birds do it now. When I need to ratchet back the stress of anyone I pretend shake out my feathers and yell " whooooooaaaaa!" And tell the birds to shake out their feathers. It works like a dreams dialing back hormonal drama.
Everyone's advice on stepping up is great. I've had the same issue with finishing out hand feeding babies. They don't know you, they are clumsy, and feel insecure stepping up so they latch on hard to your hand as it makes them feel more stable. If Luna has had a wing trim, then that can make her feel unstable too. The food trick takes their minds off of their insecurity and quickly they learn your hand is secure to step up on. But, you are right that you don't want it turn into something more. I agree don't make them always step up, and getting out of their cage on their own is fine. I do think there are times that they have to step up whether they want to or not. Like around the vet, or for an emergency, such as in the case of a fire. I have certain tones of voice that relays I'm not messing around and you have to step up. We sometimes practice it, but not all the time as long as they step up when really necessary. It doesn't have to be a step up either. My M2 doesn't step up from inside the cage (he is wild caught and it is just something he can't do), but he will happily run into a towel and let me take him from the cage (wish they all did that!).
Another thing, never let an Amazon on your shoulder. While it may be debatable if Amazons bite more than other parrots, I can assure you they do bite better than other parrots. They have a tendency to grind what they grab doing tremendous soft tissue damage. I've been bitten by all sorts of animals from a horse to a seal to a snake and by far the worst bite I've gotten is from my BF. The only time I almost passed out from a bite was him. One bite I had nerve damage for 6 months. My Treacle is a champion biter! And in a weird way I'm kind of proud of that. Are all Amazons this way? No, remember he was physically abused. But always keep in mind a large amazon can do great damage so you do not want them on your shoulder near your face. Now after horrifying you with how bad they bite-ask me if I'd give him up? Nope, you'd have to kill me first! Amazons are amazing and charming-yeah they bite, what of it?
My concern is with your partner. If she is frightened of Luna that could develop into a problem. Your partner needs to get over the anxiety before a baby comes along or that will just intensify with a baby and Luna will feed off that. She needs to work through it not try to hide it-because often people hide fear behind aggressive thoughts and that aggression telegraphs right through to a parrot and scares the day lights out them. Of course this is really easy to spout off on and not always easily accomplished. For the sake of full disclosure this advice hasn't been taken in my household!
It is best to avoid an amazon love triangle. Birds often will bond with one person more than another. Perfectly natural and fine as long as it doesn't go too far. The thing to avoid is you becoming your birds mate and then the parrot tries to chase off the competition. I speak from personal experience. It didn't help that my BF had been abused by a man, but amazons often pick genders they like. IF anyone KNOWS how to stop that DON'T KEEP IT TO YOURSELF!!!!!!!! Treacle hasn't found a female yet, of any species, that he doesn't adore. All males, any species, are hated, because they might steal his harem. Treacle wants my husband's guts for garters. It doesn't help that Joe is afraid of him to some extent. No matter how much I tell him to get over his fear-he doesn't-he understands the concept it is just the putting into action he balks at. Like anyone in an abusive relationship, the abused makes excuses for the abuser. I am told that I just don't understand and that he and Treacle have a complicated relationship. Yeah, right!
Unfortunately, being in an amazon love triangle gets me bit not Joe! Parrots do transference biting-they transfer their fear, anger etc, from what is causing that rage to something that is safe. It is something they do in the wild too. When they can't get at who they want to bite (because they might get bitten back) they bite who they can get to who isn't a threat. So, in the wild they might bite at their mate, not that they want to hurt their mate but they want to chase away their mate from the competition. A bird bites a bird and comes away with a beak of feathers-not pleasant for the bitten bird, but not much damage either. I don't have feathers and damage more easily. Treacle transfers the aggression he feels for Joe to me and I'm the one who is bloodied. I really wish they'd work it out, but until Joe gets over his fear I don't think that will happen. So, you see, it best if you and partner just don't go there with Luna.
As for children, never leave them together. But start early looking at the bird together. Infants and small children are hard wired to read non verbal cues. I suspect your child will learn "non verbal parrot-speak" better than you. This may sound odd, because you are trying to keep the child away from the parrot, but lower the cage. The cages are built for adults to look at the birds and that places the parrot always in a dominate position above children. It also restricts a child's view of the bird so they may not see that bird is angry before little hands go in the cage. Also, teach the child to move slowly and calmly. Small fluttering hands look like a small bird being attacked that can't get away, your bird might be scared of that and try to get away or attack.
Small children should not be left with
any animal. I cringe at photos of a toddler crawling all over the family dog and pulling at it. The kindest animal can be hurt and automatically snap at a child. I see it as protecting the animal from the child more than the other way around. Small children don't understand the degree of force they are exerting much like Luna doesn't understand. Also, some children are quite old before they truly understand that an animal can feel pain like they do. For both the animal and the child's sake don't trust either. Sad to say that getting bit is a great way to learn to leave the birds alone! Of, course there are always children that never learn that-myself included there
-
There are some birds that never will bite you, but in general, by owning a bird you are destined to be bloodied by a beak. And always it is
your fault.
Best of luck!
Yes, both Kobe (Pionus) and Ollie (Amazon) do that with their heads - it's slightly different with each of them and they are both in good spirits when they do it. 
