Andy Reid loves to move around in drafts, so I wouldn't completely rule out trading down for you guys. If you look at Reid's history in early rounds of drafts, he loves to move up and down.
Draft days are going to be exciting for you guys. If anyone here is a person who just tunes in around the approximate time the Chiefs are supposed to pick, that isn't going to work with Reid. You have to watch the whole draft, because he's always itching to make a move.