Hi Justin, so often to get a smooth object it can be better to build it as one larger sweep or network instead of in pieces like that. Then it would be smooth to start with.

See here for some description of this:
http://moi3d.com/forum/index.php?webtag=MOI&msg=1398.18
http://moi3d.com/forum/index.php?webtag=MOI&msg=1398.19

For your case with it being done currently in pieces, one way to smooth it out would be to draw in a rectangle and use it to trim the surfaces so there is some empty space between them and then you can use Blend to put in a blend surface between them.

To build it as one smooth surface to start with you would need to make the curves smooth to each other, to do these points should be in a straight line so that the curves are tangent to one another, your points are slightly out of line making the curves have a sharp corner between them:



I've attached a version of your .3dm file where I've tuned up those curve points to be in a straight line in those spots which makes the curves all smooth to each other. Now you should be able to select them all and do the whole thing in one go of Network which will make a smooth surface:







- Michael