MKV is the format that hoards: video, a dozen audio tracks and every subtitle, all in one box. It was born in 2002, the open-source Matroska project, and its real weak spot is playing on TVs, iPhones and editors that never learned to open the box.
FLV is a relic of the Flash era: the format YouTube grew up on, stranded when Flash died. The Flash Video container, typically holding old H.263, VP6 or early H.264 streams. That makes it the right destination when what you need is nothing new: today it's mostly old downloads waiting to be rescued.