Convert Webmail to Outlook?

For email, I am using our hosting company’s webmail system (IceWarp Web Mail 5.6.7 - http://www.icewarp.com/products/icewarp_email_server_software/).

The webmail program is basic, but it works, and I now have about 4 years of emails on it – so it runs very slow.

My other business partners use POP3 – Outlook for their email, but they go into the office everyday – I work from home and travel a lot – which is why I use webmail.

Now, we are going to switch hosts, and before that happens, I need to get all my webmail off the current host’s server – and get it into Outlook.

Emails that are stored on current host’s servers – are organized and ready to be removed from the servers.

I actually need something like this:

1) When I pull all the webmail emails into an Outlook file – that file is put into my Base computer, but I would like the ability to back-up/clone the Base outlook account – and transfer that file to another machine, so on the road I can still access old email.

My question is, how would I go about doing this?

Can outlook do this? Or do I need a different email client?

 

a close look of the product :

http://www.icewarp.com/products/whatsnew90.php

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Mentions Outlook Connector. Have you looked into it to see if you can synchronize the database on both ends?