Hello, i need assistance transferring files from my old computer to my new one. Can you just get a flashdrive, put the documents onto the flashdrive, and sticking it into the new one? Is there another method of doing this, or am i wrong altogether?

Nope, your right on the money, the simplest way to just transfer files is indeed drag them onto a thumb drive then drag them off on the other system(s), if the files are to large to fit on your thumb drive then putting the actual drive in another system as a slave then allows you to access the drive and save what you need from it, it is as simple as you thought.
But so you know, you can use either drag, cut or copy and paste, cut and paste is totally removing the files from the original drive, the other 2 options normally leave a copy behind, so depending on your requirements you can cut them, or copy to be safe until you confirmed the transfer was successful to the other system then manually delete them, it's totally up to what you want to achieve, hope that helps.