Stick to your 6.1.3. iOS 7 is in Beta and not meant for simple upgrading for devices atm. Unless you're interested in a lot more crashes, software incompatibility, trying to find everyday function with an unfinished OS, etc.... don't bother. Also, if anything happens with your device to the point of it being unusable then your warranty is void because I'm willing to bet your acquiring of the Beta is not through the Developer's Program.
Btw, there's never a definite on a jailbreak. Sure they seem to come along over and over again but by any chance that it may not happen it is always best to stick to the current until one is finally released.