What my chapter started this semester was the bigs give have to make the littles paddles. (Although we have to call everybody Twins instead of Bigs and littles b/c we are an associate chapter and only two guys are initiated). This is a tradition we entend on keeping after chatering. That everyone in the chapter will have a paddle (except the old guys that were here first).
Fun anicdote: Instead of a normal paddle one of the guys gave his twin an oar that was decorated.