The link Ron provided you with is how all of us (in essance) migrate a board, it's straight forward and not nearly as complicated as you seem to feel it is...
Let me go in debth a little bit... You will have best results doing this with the SAME version of the UBB (as in it's a little more difficult say moving 6.5 when the new install is 6.7.3; if an upgrade is in order you should apply it prior to migrating then having the "new location" install as the newest fresh copy available)
1. Download a backup of ALL of your old forum (CGI, Variables, NONCGI and Memebers).
2. Install a FRESH install of UBB.Classic at the new location.
3. Copy your variables, noncgi (only the Forum folders are nessessary), members to the new location (be sure to update paths in vars_config.cgi)
4. Enter your UBB Control Panel and run all rebuilds in the maintenance section.
Done.