Nate, when traveling, I do use LogMeIn Pro to connect back to my desk top. Help me understand what the difference with their Hamachi tool and why that would be any different than what I have now.
Hamachi is a hosted VPN, I believe. Or at least it has helper stuff on their servers so your machines can "find" each other and do peer-to-peer VPN tunnels.
I haven't used them. Just see it mentioned a lot.
The difference would be that you're just connecting the networks. The full LogMeIn tool includes remote control software for the desktop machine located elsewhere. With a VPN, the mobile machine looks for all intents and purposes like you've plugged it into the network at home, and you can use whatever free (VNC, Windows Remote Desktop, Mac stuff -- which is just Apple bundled VNC) tool for remotely controlling the other machine that you like.
Additionally you can route everything to the house first and use your Internet connection at your house as the jumping off point into the Internet. Encrypted network tunnel to the house, when you pull up a web page, the web server will see the request as coming from the house.
Or the hosting provider in the case of someone else hosting it, like LogMeIn. Depends on if they're doing a split-tunnel or not. (A VPN can be set up that routes your home network stuff over the tunnel, but public stuff just goes straight out your local Internet connection.)
I usually just set up a quick and dirty SSH tunnel to a box at a static public IP at home if I really need to show up from somewhere else.
The downside there is, the VPN/SSHhost is usually at my house and if the power goes off at home or the box dies, no VPN. A hosted service like Hamachi would eliminate that risk.
For as little as I use it, no big deal.
SSH tunnel doesn't really work well with the iPad (can be done, but not with the built in VPN settings).
I really should set up an IPSec VPN server here at home sometime, but haven't bothered yet...