So I just got an iPad Air for my birthday and I really want to use it for taking notes in my psych class but typing on the glass screen is honestly the worst thing ever like I keep hitting the wrong keys and its so slow. I was looking online for a keyboard but I am totally lost and sorry if this is a dumb question but do I have to buy the expensive apple one? Its like 300 dollars which is way out of my budget since I only have about 80 or 100 bucks left after buying the tablet itself.

My logic was that maybe I could just use any keyboard but then I saw stuff about bluetooth and cases and I dont know if they all fit the same or if I need a special plug. I saw some people talking about the magic keyboard and then something called logitech but I dont really understand the difference between a case that has a keyboard and just a separate one you carry around. Like if I buy a separate one does it just work automatically or do I have to do something complicated in the settings?

Im starting my semester in two weeks and I really need to figure this out before then so I dont fail my first lecture lol. Does anyone have a suggestion for a beginner who literally knows nothing about how these gadgets connect together...