When moving double-spaced figures pick one of it's hexes to be the lead hex. While moving him around you can now flip the figure for free. You still need to lead with the chosen hex though. Once you start attacking, you
cannot flip the figure.
As for swamp land - no, there is nothing special about it. Just a new place for us to play on.
Swamp water is basically a thin piece of land, but counts as water for special powers.
Hope that helps.