Well I just bought a Fender Precision Special and don't really like the pickups. They are way to bright for my tasting. Anyway, I need help with finding some pickups to replace them. I want a tone that has a warm mid with a tight low end and soft high end.
stay bright and work with the EQ...Boss 7-band EQ or equivalent... IMO, bright pickups offer more fidelity...its just to easy to roll off the highs ...if you want to try something on your P/J that will really bring out the sound in the low mid range...try a series mod...$10 push-pull pot and some wiring. I did one on my Yamaha RBX170 with stock pickups...and I am more than satisfied with the results.
3 options Cheap first... Change the cap on your tone pot to a .1 mfd. That will darken things up a bit when you use the tone pot. The std value is generally .047. If it doesn't darken enough, try a .2mfd. IIUC, this has no impact on tone when the tone pot is wide open. I didn't like the brightness of the Bill Lawrence P Bass pickup until I changed the cap. All of a sudden it's my new best friend ... (OK, maybe not but I like the pickup a whole lot better). What you're describing is a vintage kind of pickup to me. Duncan Antiquities would be a nice choice. A better choice is the Aero Type 1. Nice and warm, very well balanced PJ set. I have them in my Rumblefish and that's the one bass in the stable that I don't mess with... at least not yet. The Aero's just do it for me.
for me, Bartolini rules... i préviously use EMG and find them too "hi-fi" tone. i switched for barts, and i really happy with. nice warm and medium sound.