Welcome to the forum.
Do you have any idea what type of bird you might like? Do you have any experience with birds at all?
I have several recommendations for apartment birds, but apartments have various regulations and noise level standards.
My first recommendation for a bird who often likes everyone and just makes a great first birds is a female cockatiel. I say female because they are often less noisy, but males are as wonderful in the personality area. Males usually talk and whistle better than females if noise is not a problem. Cockatiels can live a good, long life. Their size is really great, neither tiny nor large. Hand-fed birds generally like to be touched.
Budgies, also commonly simply called parakeets, are great, too. The bird with the largest known vocabulary of all was a budgie. I would still advise getting a handfed budgie, and that is sometimes hard to find.
Some other less common birds that I would recommend without any reservations whatsoever in an apartment and with a child are the other types of grass parakeets. These include bourkes parakeets, splendid or scarlet chested parakeets, turquoisine parakeets, red rumped parakeets, and even princess of wales parakeets. The first three I listed are small, only slightly larger than a budgie. Red rumps are a little larger than those, and princess of wales are even larger. These birds tend to be very gentle souls with sweet voices. They do not usually talk as well as budgies. (The princess of wales may talk better than the smaller ones, but I have no experience with them. I have just heard great things about them.)
Now, if you really want a FUN bird and you can handle some nippiness, then I would recommend a SMALL conure. The commonly available small ones are green cheeks, black caps, maroon bellies, dusky conures, orange front, peach front, or half moon conures. It is very important to select a small conure by personality. Select one you can already handle. If you become afraid of the bird's nips, it will be no fun for you or for the bird. Small conures can learn to bite out of fear, so pick one that doesn't bite too much, but do expect some bites and consider yourself blessed if you end up not having bites.
One large conure I would recommend if noise is NO problem is a blue crown conure. Most blue crown conures are gentle. A few do develop into bad nippers, but that is not common with blue crowns. Again, select one that you play with and know to be gentle.
Another family of birds I would highly recommend, but only if noise is NO problem, would be pionus. Again, handle the bird to be certain you are selecting a gentle one, but a gentle pionus is a very, very gentle bird. Individual pionus can be mean, but if you find a gentle one, and MOST are gentle, it will be very reliable.
Lineolated parakeets are similar to pionus but much smaller. Some of them, even those who are handfed and handled well when they are little, become very nippy and noisy for a time. Just like a pionus, a gentle linnie is a very gentle bird, so finding the right one is the key.
There are also other birds that could be recommended. If you could tell us the kinds of things you would like to be able to do with your bird, that would help us to give better suggestions.