The best part about serverless is quickly attaching to compute.  You can kind of replicate this with pre-warmed pools: Connect to pools - Azure Databricks | Microsoft Learn.  The environments between serverless and classic compute are slightly different.

Migrating workspaces to a different region is a complete do-over, you have a fresh environment, and you have to create everything Databricks from the start (and maybe Azure depending on your company's policies).  That can be a lot of effort.  Databricks appears to be rolling out serverless region-by-region, so contact your account team and see if they know if/when your main region will get serverless.