Configuring Exchange 2007 for OWA & Outlook

I have a client running Exchange 2007 on SBS2008. Their email is hosted by a 3rd party and their Outlook clients are currently configured to send/receive email through that 3rd party server. But all the email messages are also collected by Exchange on the client server as well.  We are now activating OWA and the POP3 connectors to automatically download all email from the 3rd party host to the client Exchange Server so that the email is always available to OWA. Since the email will now be automatically removed from the 3rd party host server by the POP3 connector, what changes are needed to be made to the Outlook clients so that they point to the Exchange Server instead of the 3rd party host?

Is this just a matter of removing the 3rd party email account from within Outlook and replacing it with an Exchange account for the same user?

Also, does Outlook Anywhere have to be configured to allow mobile Outlook clients to connect to the client Exchange Server when the user does not want to use OWA?

This seems somewhat obvious to me, but I would appreciate some validation before I make changes that result in permanently lost email!