There are a lot of different kinds of machines that will print a bigger part. Cost of the machine and cost of the part goes up a lot with volume. There is also a cost associated with the support structure that you have to print. What is the bigger part, and what is the use?
I print parts for work all the time, and there are many different kinds of machines. Makerbots for example are fun machines that will make a lot of things, but at low resolution and not a lot of material choices. If you want high resolution ie smooth surfaces, then an FDM machine (Fuse Deposition Modeling- think fancy hot glue gun that extrudes plastic) like a Makerbot is not the best way to go. Sanding out ABS parts is not easy. We have a couple of machines like that, but a little more robust for professional use-essentially the same results though.
For really smooth parts that are sandable and really nice visually, you need to go to either an SLA or maybe a Stratasys Polyjet. Way, way more expensive machines, but super nice. Many of the materials are much more fragile though.
You can also laser sinter parts (SLS machnie) from plastic or metal if necessary. We don't really do that much anymore as there are FDM machines that will print wax, then we just have them investment cast. We can have that done by an outside service in a week for fairly reasonable prices compared to CNCing a complex part.
If you have someone do it, be sure to get it quoted more than once. I had a helmet done once for about $2000. Then the next iteration was about $700. The difference was in how they arranged it on the machine and what the internal structure was.