Deploying Postgresql Along My Windows App

I am developing a wxPython app which can run, like Postgresql, on Linux and
Windows boxes.

Linux users are far more specialized than Windows one - and Postgres comes
along with major distros.

Windows users don't want (or are unable to) install Postgresql by
themselves, so I was wondering if there is a way to deploy (or embed) it
along my app.

I would like to decompress a non-installer bin version, setup the initial
catalog and run the server without users intervention.

Can anyone help me?

Thanks,

Valter