why looking free domain, when cheap domain name you can find ease and the registration will under with your name also you can sell if you not use again
I can advise you only one thing don't go for free domain. ALways , try to have paid domian even thought by paying an cheap amount this could be an good to have. For, chep domains you can go for name.com as well as godaddy.com. Even , the link in my signature.
i would suggest buying one. If you really cant afford to pay out 7 or 8 dollars then goto www.co.cc. Only 2 per account unless you donate then you get 100. i did