Hi there
@Dambuster79, I see that you play both Xbox 360 and Xbox One. Not knowing which this question is for, here are details for both...
- On the Xbox 360 you can copy the world from your 360 to a usb drive, and then you can copy the world to your son’s 360 from the usb drive.
- From your 360 you can upload to the cloud, and then download to your son’s X1.
- On X1 you should be able to download the world onto your son’s X1 from the cloud. I believe the X1 keeps your games there and does not allow them to be copied to a local drive.
In all the cases, however, it’ll remain on your account. I don’t think there is a way to transfer it to a different profile. And just as a caution, there have been reports from others that the uploading/downloading onto X1 is not working as well as it should, you can still give it a try though.