I reached this point with my playing and sound, and I went about it in the following way. I love Phil Lynott and Bernard Edwards, in my head I wanted a sound that was the a mix of the "rock" of Phil with the "fat bass" of Bernard. Gear for me did have an influence on sound, I am lucky that I know a few people with studios and good friends with a local shop. I tried a range of basses, the Stingray was the overall best for me, I tried a range of amps (I had been a Trace man pretty much all the way up to here) and the EBS gear blew me away.
NOW the bit that got interesting for me was shaping all this, as I am 90% of the time a pick player, but one of my pet hates with pick is not being able to hear the the actual note definition, just getting pick clank, also I have the same pet hate with finger style when all you can hear is the "rattle" of metal strings on wood but no actual note tone to the sound , so playing with the HD350 head controls and the Stingray and rehearsing/praccy at various volume levels I got what I wanted, funky/punky groovy Lizzy!
It did take a couple of years to reach this point, but when I got the "Nice bass sound mate" or " thats a bit of a different thing you got going on there.." comments which I did and do, and yes it does make you a bit big headed for a few seconds, but, for me, job done. I got my sound I like it others seem to as well, it may not be to everyones taste but I stand by it and I know, when I have my gear and I set up, I am not hung up on sounding like anyone as my sound lets me sound how I want.