Hi Tom,
DBXL executes off of the QdabraDBXL and QdabraUtility databases, so where those are located will matter in this case.
For example, let's say you have DBXL on http://server1/qdabrawebservice and the databases are on a SQL instance on server2.
You can install DBXL on http://server3/ and in the final screen of the installation, select "use existing databases". This will install DBXL using all your previously existing data.
Then you can safely uninstall DBXL from the original server1.
However, if the SQL instance is in server1 itself, the procedure might be a little different.
Can you describe your set up? If it's a farm, perhaps SQL is on its own server (e.g. server2) and the steps above help answer the question.
Thanks.