Dust in Mac

So in August of 2018, I bought my first Mac. Over the past, eh, I'd say two months, I have started to notice that my Mac heats up pretty quick. When the fan is really crankin' I can hear a buzzing sound coming strictly from the house left side of the Mac. Even when the fan isn't even on high, I can still hear little buzzing sound coming from it. This scared me a lot because its still new. Well, so I've been doing some research and I'm pretty sure that there's dust in my Mac (mainly in the fan, which could explain it being louder when the fans are on) This also would make a lot of sense because, really the only place I use my Mac is on my bed. When im not using it, I store it in a place that has a lot of dust. Now, I've looked up many things and found a ton of videos about dust in the fans and how to clean them, but I really don't want to have to open my Mac because I just know that I would break something (also, for some reason I never bought a protection plan) So my next alternative is to go to an apple store and take it to get it cleaned (or, if there was actually something wrong with the fan, get it diagnosed.) which is actually really convenient cause I live a 5 minute drive from the one that's inside my mall. So, that brings me to my main question. Does anybody know if it took it to the apple store to get cleaned, would It cost anything?

Thanks,

Kate S