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You can access the Dropbox folder from any webbrowser. On the Mac this looks like here in Safari:
You can also install a Dropbox plugin to access it directly from the Finder on Mac:
On Windows it works pretty much similar:
First you have to register yourself at dropbox.com. It's easy and absolutely free, unless you need more than 2 GB (!) of space.
In iRedTouch
You can "share" any of your local remotes to your Dropbox:
The remote's image and xml file with all codes will be copied into the folder iRedTouch on your Dropbox.
To share online remotes such as from other servers or from iRed2, first copy these to your local remotes, then share.