P Bass sounds awesome. Quite literally, ha! I like the simplicity. I am displeased with the sound of my J bass and I am not sure if it is an issue of quality or just type. One thing I LOVE about the Jazz is the thin neck. Total Godsend for people with small hands. Switching to a precision gives me lovely sound but that thick neck is not my favorite...which is one reason I like that Duff McKagan Bass.
I'm on a Precision kick myself. If you go into a Guitar Center, see if they have this one:

I am seriously in love with that bass. The Fender USA Nitro Satin Series Precision. It looks great, plays great, sounds great, is lightweight, and it has a slim neck. Maybe not quite Jazz thin, but not as thick as typical P necks.
Hey, one question about tuning. I want a B string so the obvious choice would be to buy a 5s but...I have tiny hands. Would a 4s BEAD tuning be advisable? Would that mess with the neck/truss rod? Would I have to change the intonation?
As long as you take it to a luthier who knows what they're doing, it shouldn't be a problem. They'd need to file wider slots on the nut and adjust the bridge and truss rod, but it's easily doable. I'm not sure who, but a couple of guys around here have modded their fours to do just that.
