The export functionality of a 3.7 project will do the following as described:
" What will be included in the exported template?
The tool currently exports all data from pages in the Pages section as well as data from the following modules: Generic Content, News, Lists, Blogs.
What I would suggest in your situation, is to transfer the contents of your website ( database, contents, custom controls etc. ) by copying the files to the new server, setting it up according to our documentation and restoring the database. Then you can edit your DNS settings so that the domain points to the location of the new server.
the Telerik team
Do you want to have your say in the Sitefinity development roadmap? Do you want to know when a feature you requested is added or when a bug fixed? Explore the Telerik Public Issue Tracking
system and vote to affect the priority of the items