You can redownload your vbulletin as long as you have a active liscense still, but just log into the members area to check. Why bother, here is a super simple way.
Make sure to backup your site DB, make two or 3 just incase
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easiest way is to just tarball your whole entire site folder
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registered member to view any code.
and then scp it to your new server
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registered member to view any code.
once there untar
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registered member to view any code.
go create your new DB and username and password through your control panel software.
restore your db
You must first be a
registered member to view any code.
that should be the easiest way to move it all