Shared hosting puts a site on a server with other customers. It suits a brochure site or a small application that does not need dedicated resources.
A virtual private server gives the site its own resources. It suits a busier site, a custom stack, or a team that wants to manage the server.
Dedicated servers and co-location are separate products for larger workloads. Start from the hosting pages, then ask for a quote if the workload is unclear.
Questions
Is shared hosting enough for a small site?
Shared hosting suits a brochure site or a small application. A virtual private server suits a site that needs its own resources.
Can I move a site I already have?
Yes. Broadbent Host can host the site, and a domain can be transferred or pointed at the new hosting.