You can use any plugin which allows editing database through JDBC. You will need the MySql JDBC driver (get it here).
There is the Eclipse own Data Tools Project (you can get it as part of the BIRT package).
Two popular plugins are DBViewer and Eclipse SQL Explorer, but there are a lot of other options. Most of these will work.
Personally, I admit, I prefer working with a native tool, I just don't like browsing the tables inside my IDE (I use Sequel Pro, which is Mac only).