BuddyPress.org

If you want to move it to a new server. You can move it just like WordPress. If you mean that you want to move it from a subdomain to the main domain (or something like that), then you must be a very brave person to do that. I’m not saying it’s impossible, but I haven’t seen any easy ways to do it. BP relies heavily on the URL structure and changing that after the fact is problematic.