Migrating LATIN1 dump to UNICODE db

Hello

We are currently running a pg 7.3.2 db on a linux system, the database we
are using has been created using '-e LATIN1' encoding.
Now we are in need of moving its contents to a pg database created using
UNICODE encoding (for our new customers using foreign languages).

Is there some postgres-based tool to convert or reimport a LATIN1 textfile
dump (from a pg_dump cmd) into an UNICODE encoding database, or some kind
of built-in converter available ?

Thanks for your support

Laurent Perez