if I saved up some money, and decided to visit the USA, and decided I wanted to stay? how would I go about, staying

I was born and always lived here so I am not sure but I do believe it is a long complicated process.

I think you have to have a host that you live with for one year before you can apply for citizenship. I think though that you can get some kind of work "visa" that is good for that one year so you are able to earn an income.

I imagine there is a lot of info on the web, or the more easy way to learn would be to contact someone who has gone through the process who could explain the concise version.