I'm totally green to the idea of having "a sound", but I would hazard to say that it's a lifelong journey.
When you start out, you hear the big changes and you make big changes to achieve what you hear. As your ears mature, you begin to notice the finer nuances and you keep tweaking with less and less obvious changes to the sound.
I expect the sounds you like and are looking for would change as you mature too -
Personally, my journey to the sound I like has consisted of playing a cheap Ibanez RD300 stock through a Roland 30W cube.
I changed the amp to a fender rumble 350w 2x10" to get the extra power I needed, and struggled with boominess (my fault as it turns out)
I then changed my pickups to Nordstrands in a Neck J and Bridge MM, and I really began to dig the Jazz tone.
I bought a sadowsky outboard preamp, and dug the J sound it gave me even more.
I then started listening to more funk, and realised I could get a very adequate burp tone out of the MM by changing my playing position to over the bridge pup.
I then upgraded my amp to a TCE RH450 + RS210, and am in the process of working out the tone that I like from this with/without the sadowsky, with/without tubetone/spectracomp effects.
I'm now waiting on my first set of flatwounds, T-Is and La Bellas to investigate further.
In fact, having written all of that, "a sound" is probably just as much an evolution based on gear you go through in your journey as it is a maturing of your ear.
I dunno, I'm having fun though
