It's great you're doing your research now!
First is that as you know, no bird is quiet, I'd say get a cat if noise is a big issue, not that all cats are quiet! Cockatiels and Budgies can still be very noisey and persistant, but that is not always the case for all birds. BUT seeing a bird in store or at a breeders wont always indicate the noise you'll get, he might be very vocal in shop then take him home and he'll only be vocal in the morning and night, or vise-versa.
As I'm not in the USA i don't know the exact prices but buying and keeping a bird isn't cheap. Initial cost will include the bird, his toys, cage, a good bird safe cleaner, and food (pellets of your choice and whatever the bird ate before). I had £500 sat ready for my green cheek conure and I used all of it (thats $694), plus I'll need to get new toys every so often, fresh bag of food and so on. Much like any destructive pet or car, they are a money sink, a cute fluffy money sink.
Then there's vets bills, never cheap but you'll want to know the location of the closest avain vet for emergencies at the very least. Unless you're lucky and have one close by you'll need to drive or have someone willing to take you quickly (when birds get sick you likely wont know til they need immediate attention).
You're parents while you live at home will have to have some involvement in the care of this bird. If you are living with them and at your age they will have to. If they can't then for now you should consider waiting til you are living independently. This is because you are young, you might love animals but you should be aloud to go out sometimes. Pets are great, it's great you're willing to take on the responsibility but birds are very flock orientated they need company and mental stimulation (toys, time to fly, etc). If you're not home for whatever reason, at a friends house, hospital, camping, your parents have to be willing to help clean up, as well as water and feed the bird. Birds are best kept in a family room like the living where they can see and talk to people, and have a space to fly around. Pet birds need to be socialised with multiple people else they get overbonded with someone which leads to behavioural problems, biting, screeching, being a terror. More time out of the cage is better but birds like routine, so a couple hours everyday is fine if you can make time for more on weekends, the odd day/weekend with less shouldn't end badly.
All birds require some amount of training, some more than others. They can adjust to things like schedules but you should be adjusting for a new pet not the other way round.
I don't know much about cockatiels and budgies sadly, they are lovely birds and both more independent than a conure of any colour (as a general rule). That said see if there are any shelters/sanctuaries for birds near that you can visit, go and see different bird species and experience the kind of noise you should expect. Those birds do truly need a good, stable, forever-home, you may even find a bird that you instantly connect with. Even if you do though remember that those birds normally come with baggage, bad health, bad behaviour, things you might not be able to correct quickly if at all. The best intentions can't make up for experience or knowledge you don't have. But that is your choice there, not all re-homed birds have problems and it would certainly be a good learning curve if you make it with the right bird.
I'd say look at birds in pet shops but also talk to and maybe visit breeders if there's a species you like, good breeders will help you along the way. Young birds are a good start for bird owners but they aren't perfect either. Pros: They're young and it's easier to train good habits and keep out bad behaviours (in theory). Cons: Puberty*/personality development** (**=When young, birds personalities are developing so the sweet baby you buy wont always stay that way, or he might, you wont know til he grows up a bit. This can be dealt with with good training to some degree)(*= Birdy Puberty! Their first hit of hormones. Basically a little feathered teenager. This can involve alot of grumpy/agressive behaviour, sudden biting, and general personality U-turn. A lot of birds are rehomed soon after they hit puberty as people don't know how to handle it, a lot like how puppies are rehomed after they get too big. That all said, and it's important to know, but not all birds are hit badly by hormones. Some birds like mine, you'd barely notice the difference, no biting, not major personality change. I'm lucky. Don't disregard a hormonal bird).
Being a good pet carer is knowing what's best, even when that means your pet isn't best with you, you wrote that you don't give up on your animals which is great but situations can and will change. You wont be living at home for the next 20 years will you? (No judging if you do) but work will happen, going out, seeing friends.
Life happens sometimes.
You have other pets so the cleaning and feeding and bathing should be normal to you. If you can guarantee a bird a stable enough home, with as much time and care as you can afford with at least some help from your parents for now then explore parronthood. They are amazing to live with, they will get under your skin at times, they will bite, they will make a mess, but they will make up for it in companionship, with the right care. You choice can make the difference between you and your pets happiness.
The big, the bad, and the ugly. Owning a bird. But damn if they ain't cute an' silly.
(I'm done ranting, you're free!)