Well there is something you can do, its called DynDNS.com they offer something called Dynamic DNS Free, just create an account, pick a hostname, ie nathantheitguy.homeip.net (this doesn’t exist btw), and save it. Now you only have to remember the name you created, this wont stop the IP from changing and you would have to continue to update it from time to time, unless you have a router like my Linksys which has a section in the setup where you can specify a DYNdns username and account, when the external IP changes, the router logs into DYNdns and changes the IP for you, sweet! Now all you ever need is just your name, nathantheitguy.homeip.net.

I will warn you though that DYNdns is free and as such you must login from the web once a month to confirm that there is a human managing the account. failing to do so and DYNdns deletes your account. The router login does not actually hit the website. A paid account, 15$ US, will eliminate the need for you to login, Dynamic DNS Pro adds a variety of enhancements and additional features to Dynamic DNS Free which are detailed on the Dynamic DNS Pro page. Please check out the links for full details, they have alot to offer.