Hermanson looks to have a slight edge right now over Weathers in Cinci. Hermanson isn't in Yahoo's database yet though and probably will be added after the first game of the season.
Tampa Bay is still to be decided. Manager Maddon has said that he doesn't plan on naming a closer before the season starts. It looks to be a closer by committee until someone emerges. Al Reyes (also not in Yahoo's database), Chad Orvella (having a great spring), Brian Stokes, and Seth McClung (poor spring, might not even make the team) are all in the running.
Check the sticky in the Baseball Leftoves section for more important updates.