what you can do, is use the no-ip.com domain, then use a free redirector service.
www.dot.tk is a great one.
That lets you link
www.hotdogg.tk
to your
www.hotdogg.no-ip.com website
But you have to remember there will be a split second slow down for the redirect.. but it is not nearly noticeable.
have a look at my site.
I have a crappy tripod free account...
the address is long as hell
abababa.tripod.com
so I made it
http://bigbooger.tkSorry, but that site is usually busy, and is down quite often because of bandwidth limits.. but you get the picture.
The only other way that I know of, that you are going to get a simple domain name, is to purchase it
BUt if you go the .tk route, it should be good for a while, until you can figure out if your site is going to get popular, if so then you might consider say purchasing a domain name.
What I suggested is great for testing and for really small sites.