how to get database connection using a Delphi personal version?

This question comes up very often in the Delphi forums
the bad news is that the personal versions of Delphi don't come bundled with database components, you have to use a third party solution, the good news is that there are a few free ones, here's one of them

http://www.deer-soft.com/

and here's a tutotial from delphi.about about working around this limitation using text files, typed files, etc, in a few cases, these methods might be enough for your application

Creating flat (non-relational) databases with no (Delphi) database components