Indications have been that Dunn wants to continue to play the field, but I have to think the White Sox will use him primarily as a DH. This would be a smart move, obviously, as Dunn's fielding leaves a lot to be desired.
His hitting, however, should play very well at U.S. Cellular Field. Dunn hits for power, and will now call one of the more hitter friendly parks in the game home. Many will point to his strikeouts, but he gets on base at an above average clip while driving in runs.
One interesting thing to note is how similar Dunn's 2010 was to 2008, both contract years. While he got nothing close to what he thought he was worth after 2008, he seems to have cashed in this time around while having a similar year.
Perhaps Kenny Williams' desire for a left handed bat with sock contributed to that, or teams are now starting to pay for offense again after a couple off-seasons that saw defense heavily valued. It will be interesting to see how this signing affects other free-agent signings.