Looking to get funky slappy round wounds for my P-Bass (that still preserve that P-Bass punch) and soft and jazzy flats for my J-Bass. Any ideas?
TI Flats or light Sadowsky flats or light Fenders depening on what tone you want on the jazz, in general any kind of roundwound in a light gauge on the p. Why not DR Fat Beams or Hi-beams or Fodera nickels? Great slap strings both of them, or get some really light Kaliums. Try to read a lot on the forums and listen to lots of samples for a while, the more you learn the less you have to pay to test all kinds of strings I guess.
Another vote for the Fender 9050 and the Sadowsky Flats for the J. For the P, maybe either the DR Hi Beams or the SS Lo-Riders. The HB would be great for slap but a bit mid-scooped, while the LR have a little more low-mid punch.
I neither own a P nor use rounds, so I can't offer much in that department... But I'll chime in another vote for light gauge Sadowskys on the Jazz. They're not thuddy like LaBella DTFs, but not clanky and harsh like Rotos... there's a unique mid/upper-mid growl to them that really brings out the best in a Jazz Bass, IMO. Mellow and articulate, yet punchy and defined in their own special way.
I have 45-95 lite guage XL Chromes on my jazz. They sound fantastic. Good even tone and flexible with the light guage. I have 45-100 on my 72 pbass, a little more tension about like 45-105 rounds. I've heard good things about Sadowsky and of course TI's. I just prefer a brighter flat. i have played the GHS Pflats, Fender and DR. I keep coming back to the Chromes.
My favorite strings on a P are simple D'Addario nickels. Punchy, nice feel, cheap, easy to get, and last a long time.
For the Precision, I'd totally recommend Dunlop Super Bright Nickels. Has the snappy top end of Rotosound steels combined with the warm lows and more pronounced midrange of nickels. For the Jazz, I have usually used Chromes when in need of flats, but LaBellas have grown on me whereas I didn't care for them at first. Fenders are nice as well, and so are GHS, but Chromes and LaBellas come in wuss light gauges so I have usually stuck with them for that reason.
For my Precision basses, 4 & 5's, I like either DR Low a Rider Nickels or DR Sunbeams. Nice & punchy, easier on the fingers and seem to have longer life than any steel strings I have used. This is based upon lots of monthly practices, rehearsals & gigs and bass being stored in case (or bag) when not in use.