Best way to migrate Dataverse for Teams data to standalone Dataverse with relationships intact?

I’m working on moving data out of Dataverse for Teams into a standalone Dataverse environment

A few important considerations:

• Need to preserve data integrity (there are quite a few lookups across tables)
• Need to preserve established relationships

On top of that, I also need to introduce some transformations during the move, for example:

• Change field X to lookup to table Y
• Rename field Z to something else

So this is not just a straight export/import of the raw data.
Would highly appreciate hearing what tools you’ve used for this specific scenario (Teams Dataverse → standalone Dataverse) and what pitfalls or data consistency issues you’ve encountered.