One option is to switch the old name used by View Clients e.g. view.myco.com to resolve in DNS to the IP of the new View environment and create a new DNS name of say view-old.myco.com to resolve to the original IP.
Your users will then automatically switch to the new View environment without them needing to change the URL they use to connect. If they ever need to get to the old environment, they can simply use view-old.myco.com.
Mark