Building Applescript droplet for different OS versions

Hi all
I have recently created an applescript droplet that i would like to start doing the final build/builds… The application works great on my G4 running 10.4.8. I now need it to run on various different macs spanning from about 10.3.9 - 10.4.11 and possibly leopard.
Can anyone point me in the direction of any tutorials on the best way of approaching this?

Any tips would be greatly appreciated.