Is there any way to have the device display the network time and date continuously?? I found how to copy the network time and date to the device, but I travel alot and would like the device to display the current time on the network when I change time zones without having to go through the motions og copying.

I travel a lot and never copy the network time. I just set the BlackBerry to the local time zone.

Is there a setting that automatically adjusts for the new time zone, or do you manually change it when you arrive???

It's manual. I am not aware of any utility or setting which will automatically update the time based on your location.