Unfortunately, in my excitement to try out the new camera, I hadn't checked all of the settings before shooting. It turns out the camera was set to aperture priority mode for most of the afternoon, forcing it to often choose rather long exposure times to accommodate the small aperture size that had been set. So, plenty of motion blur in the action shots, and a ton of unusable "stills" with too much camera shake showing. Live and learn.
Set Two: Back to the beach yesterday (or maybe "today" since I haven't gone to sleep yet), determined to get better photos of the dogs. These ones came out pretty well.
See also: A day at the beach