Hey borbye,
I don't want to sound presumptuous, but I don't see why you need Little Snitch. If you have your Security enabled and configured properly (which is not done by default) along with your firewall, you can specify which applications can establish connections and it blocks everything else. You can also set your system to "Steal Mode" to block all pings et al, through the advanced settings on your firewall; and with a master password, your system stays protected even if stolen. In most cases when a system is stolen, they just take out the harddrive to access your files, but with a master password set for FileVault, your HD stays encrypted without the password.
IMO, Little Snitch is just doing some of what your system already can (if you set it up properly), but can be more like "a Little Annoying" with all the incessant messages you'll get before its configured properly.
Just my 2-cents, but even a free version of Little Snitch is a waste of time. You have what you need. Just read through the Security section for your system and configure it accordingly. :-)