If I didn't have both a Blu-ray player and media player, I would go for a media player first. But, if I had a media player already, it wouldn't hurt to get a Blu-ray player so that you can still play your discs. Anyway, players come cheap nowadays.
To answer TS, there is this shop in Magnolia that sells a buy 1, take 1 player, hope they still have it. Good luck.