Dammit, I wish I could remember more about my Networking course :/
I've got the server running to the point where you can connect from the IP address, but it's only been tested from a computer on the home Network, so I don't know about from outside. I've set up Port Forwarding rules for the usual ports (Minecraft and Dynmap), but FreeDNS is being no fun at all.
Problem is, because I go through a router, I have two IP addresses, the one given by IPConfig and the one registered by sites like whatismyipaddress.com. I can start a server on the Network IP address, but not on the one assigned to me by the router, and FreeDNS doesn't seem to want anything to do with my Network address
Ah well, I"ll keep on trying