See this other question for information on how to transfer a domain between registrars.

As for how long it takes? Usually about a week. But, keep your eye on your email box. You'll get all kinds of notifications from the new and old registrars. Many of them require your response. If you don't respond, you'll have to start over.

For domain transfer you should get authorization code from your current provider then you should provide the code to your new provider. For new provider,I would suggest http://www.xnynz.com/ here you can choose your desire domain name at low cost with free extras. After registering it,they will send a mail to you for authorization. Then you will receive a mail in a particular period of time as successfully transferred. After transferring it,check your domain details using the free site http://www.whoisxy.com/ .