If you want to update your league results, or indeed anything in the database, on your home PC and on a laptop in a meeting and maybe even on your work PC, simply store the database on the cloud and access it as if it were a folder on your home PC.
To do this:
After installation, you should end up with a 'Dropbox' folder on your device.
This folder will be automatically synchronised with the copy of the folder in the cloud (the on-line copy). If you store your ULM database in this folder you will be able to access it as normal, on any of the devices you installed Dropbox to.
Note: As the database cannot handle multiple users at the same time please ensure that the database is closed after using it on one device, before opening it up on another device.