If you read the tech note the steps are
Move the databases.
There is a reg key to be changed on each EV server (this tells them which server is the directory server
update the SQL table vis SQL or via the VAC your choice on this one. My preference is in SQL
Ensure that all of the System DSN connections listed in the ODBC Data Source Administrator relating to Enterprise Vault reference the correct Enterprise Vault server.
If you have an EVaudit database then you need to modify the system dsn for the Enterprisevaultdirectory database
It is all outlined in the tech note.. BUT
I highly recommend that you make life easy for yourself. Bring the new SQL server online with the same name as the old server. If you do this the transition is seemless and you will have no issues like fat-fingering the table enteries or anything else like that and you have no changes to make on the EV servers.
If you want to do it the way I recommend then what you need to do is
1: stop all ev services on all ev servers
2: backup all your SQL databases to .bak files
3: move the bak files to the new server
4: power off old SQL server
5: rename new server to the same name as old server
6: install SQL on new server
7: restore databsese from .bak files so as databases are restored with the same database name on the new server
8: set the compatability level on the databases
9: Starting with your Enterprise Vault Directory server (normally the first EV server you installed) bring the EV services back online
10: Check to make sure everything is running ok..then you are done