Virtual private server on Wikipedia
Most Filemaker Hosting companies, that I have seen, charge by the number of databases hosted
I have experience with Digital Forest and NeoCode - both were good, I have not enough experience to point to any specific service.
Point in Space is well known FMP Hosting Service
A Britsh company offering VPS Filemaker Hosting
Just doing a Google for "VPS Filemaker Hosting"
FileMaker Remote Hosting Demo
Many software applications run best when they have a dedicated server all to themeselves. Unfortunately, the cost of a dedicated server for just one application is often prohibitive. With virtualization however, you can now allocate an entire server to a single application at a fraction of the cost of a dedicated server. Typically, any software application can run on a virtual server. Following are some examples of Virtual Application Servers.
Dedicated VAS for FMPSA ver 11 $195.00 Per Mo