Well, the iPhone Dev Team has done it again. A working jailbreak for 1.1.3 is finally here.
Don't have much time to give all the details as I am working on the tutorial now; however,
This jailbreak, like the 1.1.2 jailbreak, comes as an upgrade. This means you need to have a 1.1.1 or 1.1.2 jailbroken phone already, before you can begin. .
STATUS UPDATE: Its working!!! You can find the tutorial here: http://www.iclarified.com/entry/index.php?enid=604