Updating IP using update.dnsExit.com

I appreciate your working on this. The URL works great when pasted in Firefox. Unfortunately I don't seem to be able to find a way to code that for the Arduino Ethernet shield. Every GET and POST and action and that I upload seems to either completely fail or I'm back to the same "server cannot understand . . . . ". I was hopeful that maybe my escape (") usage or HTML !DOCTYPE were at fault. I'm pretty much out of ideas and the dnsexit company is not very interested in Arduino.

I should add that the goal is to have a little Arduino keeping the IP current (maybe just daily updates) so I can remotely access a security camera. There are no people or other computers available.