Do you know any free domain providing sites??????

No..You have to pay for the domain registration service..But you can get it as cheap price.I found a cheap domain registration service at http://www.tucktail.com/ .They offer the top level domains at cheap price..If you purchase the domain here, you will get the Basic hosting package at free of cost.

I don't know about. Don't be offended

No-ip.com provides free dynamic domain names that are updated by their little dynamic update client. The only downside is that you've got to have a third level domain (I usually use *.myvnc.com)