I've used an ODB-3 for a number of years, but never liked the tone. I find it to be too "artificial" sounding and gritty. I have also used a Russian EH Big Muff Pi, but that's usually more fuzz than I'm looking for. Now I'm looking for a more natural, warm sounding bass overdrive effect.
Probably the best example of the tone I want to replicate is Ronnie Lane's sound on "(I Know) I'm Losing You":
Rod Stewart - (I Know) I'm Losing You - YouTube
I also like Stuart Zender's subtle overdrive on "Travelling Without Moving":
Travelling Without Moving - Jamiroquai - YouTube
I know ultimately I'll need to try out a few effects to see what I like best, but just looking for some suggestions to help narrow the field. Thanks!