Changing your application to Multi-Tiers with new framework (RM,DS,kbmMW, or what ever), will make a lot of changes in our application architecture, I recommended to go with this in future, but you can achieve the support for multi database, with other products like
UniDac from DevArt( Best components for database with direct connection).
AnyDac(from same Company who offer RemObjects.
SqlDirect(Has support for 9 MajorDB and also ODBC).
ZeosDB(Open source).
using one of the components above, will give you support for most major databases, beside it will not make you doig a lot of changes, and in some cases you just replace old database components with the new ones, and maybe change some of properties.
However, changing to Multi-tiers will not only make you only support more databases, but it will separate your business logic from presentation layer, therefore you can have more presentation layers for your application like web interface, or smart devices.
But the most important in the Multi-Tiers architecture, you will have a scalable system the grow more than what the database you are using can handle of connection, beside other benefits, like using other languages to write client applications.