You know, you can use my name if you wanted. Calling me Professor Man makes me sound like some sort of Muggle superhero. Now, as you said, I have a son. His name's Ben and he's five. I wouldn't say I was a professional, I don't believe any parent is, but I'm experienced.
Now, to answer some of your more unspoken questions, I believe the reason the healer suggests bringing her outside is two fold. The first is that babies learn through their senses-smell, taste, touch, etc.-and exposing her to outside influences promotes learning and stronger connections in her brain.
The second is that without exposure to outside elements, her immune system won't have a chance to grow strong. Simply put, by keeping her indoors all the time, she'll get sick. She won't develop immunities to even the simplest things and something as innocent as a blade of grass could cause her to get ill without slow, steady exposure. So, bundling her up (hat, mittens, a warm snowsuit, but no charms) and bringing her outside helps her be healthy and grow strong. Take her on walks, show her trees and flowers and snow. Let her play in the mud and climb trees (not now obviously, but when she's older.) Let her experience the world through touching and tasting (let her eat a little dirt, or chew on a blade of grass or eat some snow) and you'll be amazed at how quickly she develops.
Now, as for the kitchen utensils, this is also to help her brain development. Early banging on pots and pans helps her learn rhythm and improves her gross motor skills, which in turn will, in the future, promote other activities such as playing piano, putting together puzzles and learning her alphabet.
It's the same for sitting up. It helps her muscles grow strong so she can crawl, and then walk and then run, jump, skip and climb. If she cannot sit up, that means her muscles are weak. She's still quite young though, if I remember correctly, so simply letting her be will solve the problem quite fine. Don't pick her up every time she cries, if all she needs is attention, and soon enough she'll be sitting and then crawling and standing. It's really amazing as it happens, and one of the greatest joys of being a parent.
Now, as for books, I've enclosed a few Ben's mother found helpful, as well as several I've picked up over the years. I don't need them back, so you can keep them as long as you'd like. They're mostly Muggle, but I assure you they have expert information, and won't steer you wrong. The ones I think you should pay particular attention to are the 'What to Expect' series. I've enclosed the first year, and the toddler years, both will have information you'll need. I've bookmarked some especially interesting passages for you.
And as for your last question, every child is different, therefore every parent is different. There is no right or wrong answer, and what's right for Ben may not be right for your child. It's the hardest part of being a parent, knowing there are no set answers (especially for a Ravenclaw!) but the thing is, kids love you no matter what mistakes you make, and are incredibly forgiving.
If you need anything else, all you need to do is ask. I'm always willing to help.