I've poked around Google to find tools that will help me roll changes out easier, and stumbled across something called "SQL DIFF", that looks like it will do most of what I want.

I am no expert on those tools so can not compare them nor recommend one over another. But I had a project recently where I needed to compare schema and data in SQL Server and I tried out http ...

To enable organizations to get the most value out of any database, anywhere, Redgate SQL Monitor now offers support for SQL Server on Linux.