Mark Grace's 12 year run starts this decade, but then Derrek Lee picked things up and finished with a six year run. Sammy Sosa finished his run with five more years, and then right field turned into a merry-go-round. There were just three starting pitchers, the fewest of any of the decades that I've been looking at.
But the best thing with this decade is that the merry-go-round at third base finally came to an end. Aramis Ramirez begins a run of eight years in 2004.