Quote - What really intrigues me is the detail Lux and Max achieved with so few edges. If you compare my models to theirs, my poly count is way higher to achieve the same level of detail they were able to get.

However, my biggest challenge is the teapot. I really like the design I chose from a reference image on google. I would really appreciate assistance in completing this. I'm at a loss on how to connect the handle and spout seamlessly.

Is your model still uploaded?  If so, can you provide a link so I can download it again and have a look?  I'm pretty sure how lux will suggest doing this, but once I get your scene file (I'm using 2013, and I think lux has 2012), then I can assist by creating it directly on your geometry, or showing you how to optimize your topology first, if necessary.  Once you see how it's done, you'll be kicking yourself at how easy it is.  Well, easier than you probably think anyway.

There's a few ways you can create handles and such in a geometry, so lux might have a different idea there, but I'll give you the most basic way, without plugins or special scripts.  I know that there are scripts out there for free that can assist in making handles and other looped extrusions much faster (I'm using the Rappatools 3 plugin, which has a feature called spline bridge), but it's possible without all that too.

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Tools :  3dsmax 2015, Daz Studio 4.6, PoserPro 2012, Blender v2.74

System: Pentium QuadCore i7, under Win 8, GeForce GTX 780 / 2GB GPU.