Hello ejc,
to make one on the desktop I made a leafpad file and named it the app name.desktop, in this case the app was called EuroMillions-Killa, one I made before as practice learning Python.
[Desktop Entry]
Type=Application
Terminal=false
Name=EuroMillions-Killa
Exec=/home/bitsnpcs/EuroMillions-Killa.py
Icon=/usr/share/icons/Humanity/apps/24/application-community.svg
StartupWMClass=myTkApp
Name[en_US]=EuroMillions-Killa
Just substitute the name of the app you want, and the fields in the template of code above for a desktop launcher and your choice of icon.
To edit the launcher settings right click the icon and select properties.