hi koltonmcconkey,
nice little chair design.
so getting this thing made. hmmm. I'm guessing you don't have a lot of experience with designing for manufacturability. Here's were I would start.
getting this design ready for manufacturing will likely cost a lot of money, upwards of a couple of hundred thousand dollars for plastic injection molding, so unless you're planning on making tens of thousands of these, I don't think I would go down that path.
try to find a local furniture builder or a model shop (also costly as a custom piece of furniture could cost you upwards of $10k to have made) or a diy club (in the San Francisco area there is Tech Shop where you can have access to the tools, machinery and training to make something like this) that could help you figure out how to fabricate one of these.
go through the process yourself to learn how to make your chair. the things you will learn in doing this wil influence how you might modify your design or design your next project.
Take a class in furniture or cabinet making so you can learn the tools and methods how to make something like this.
I certainly don't want to discourage you from persuing this, but the reality of mass manufacturing and even custom low production manufacturing is costly.
good luck.
hope this helps,
Jamie Gilchrist
Senior Principal Experience Designer