To start off with I am hesitant to give any advice here, I find I have more questions that answers mostly. That said I did attend the John Palmer water chemistry class (online) last month and found that to be very helpful.
John listed his top 5 for brewing great beer, water adjustment came in in the #6 position. Things like sanitation, yeast, fermentation temp control and recipe came in ahead in that list. That told me, from the get go, that there's probably a reason people have been making great beer for years without once considering water.
Personally, I am back to brewing after a few years off and I am taking this year to really up my game, which includes moving into electric brewing and taking a deep dive into my water adjustments. But I'm doing that not because I felt like my beer needed that, it's just an aspect of the hobby that I wanted to dig into deeper. It's this sort of thing that makes it fun for me, hence the dive.
I agree whole heartedly that one first step is to get yourself a
Ward Labs water test kit. It's easy peasy, just place the order on line, get a sample bottle in the mail, follow the simple instructions and mail it back. A week or so later you get a very detailed report on your water. From there you can have hard data that will make any reading more meaningful to your situation. Alkalinity was (okay - is) a hard topic for me to wrap my mind around, but now I'm finally understanding how that affects my mash pH and I'm now able to predict the proper amount of lactic acid to add to my mash. Does that make the beer better? I dunno, but mostly my fermentations have been doing great, which is always a bonus.
I like reading anything I can get my hands on so that's worked for me, but truly the class with Palmer really turned to corner for me. Before that I found this subject vexing and quite hard to absorb, now I think I'm close to understanding it enough to make some changes that should improve my beer. And that makes this fun for me. One last point, there are online water calculators that you can input your data to which will spit out salt and acid additions, Palmer even has an iOS app for water adjustments. I've tried a few and I'm working with
Bru'n Water now. During the last lager (my first) I made, which is currently fermenting, I was able to nail my mash pH exactly to what I had set as a goal. That program has taken a little time for me to fully understand but I believe it to be a superior product to use in water adjustments.
Hope that helps.
cheers