If the new server is better than the old server and you are still within license compliance for database cores, I recommend moving the database to the new server, then nobody has to change any saved URLs they have for the application.
You can use Rapid Clone to move to the new server. Run preclone on the DB tier, shutdown the database, copy the database Oracle Home and datafiles to the new server. Then run perl adpreclone.pl dbTier on the new server and autoconfig on the patch fs, then run fs. This should fully populate fnd_tns objects and reregister the database with the applications. You should see an entry for database server and application server in fnd_nodes now.
Cloning Oracle E-Business Suite Release 12.2 with Rapid Clone (Doc ID 1383621.1)