What do Cyan/Black Edges mean? These Edges from Edit Mode are screwing up my Subdivide. What are they and how do I get rid of them?
These lines appear when you select "Sharp Edges/Vertices" from the "Shading/UVs" menu in edit mode. You can eliminate them by selecting "Smooth Vertices" from the same menu here:

I hope this helped. Happy Blendering! Cheers,
Graves Broderick