Looks like you have a wrap around bridge, loosen the strings before you turn the big height screws, you should use a wide screw driver or the side of some metal object that will not scar the screws, they are sometimes made of soft material. Try not to disturb the two intonation screws if any on back side of the bridge.
It’s a big of a trial and error adjusting to your tastes, depending on your string gauge, I personally go by lighter stings, higher the action I can get away with. The idea is tone over playability, but in my case I’m at 46-8 1/2 step down, so playability is not an issue.
You will find the tone improve as you raise it, mind you pickup height is part of this equation, once I have the action set right, I start with the neck pickup to get it where I like the tone ( look for a sweetspot, different for every guitar/pickup ). Then adjust the bridge pup.
You may need to adjust the truss rod as well, I’ve found the tone to improve with a not so tight truss rod and also I like added relief. What I do with new guitars is loosen the truss rod till it’s got no tension, then start to add tension.
Truss rod and bridge adjustments can take many days and iterations to get it right, give things time to settle, make small changes at first till you get the hang of it.
The main thing is be patient, lots of folks like to measure things out, I prefer to do it by feel, if I was a luthier I’d be using measurements to save time too, but not on my personal instruments.
There’s a possibility you don’t know what you want so I suggest you experiment, different setups and string gauges.
Sometimes you can over think things, in my case I obsess over these things. It took me a year of playing on my YJM to find what suits me best, so take your time. I could not understand how malmsteen played with such high action till I tried his strings and setup, it was very awkward that first year till it all clicked, and I played 10 hours a day on average during that period.
Your journey is your own, good luck
edit: about your bridge if it’s stock, should have come with a little tool, like a flat spanner, loosen strings, loosen the screws, only then adjust the underside nuts with the tool, careful not to scratch the body if that matters to you. It’s tedious but there’s no way around it. If you turn the nuts under the bridge with the screws tight you will damage the tool. I use the flat edge of the tool to loosen and tighten the big screws.
If restringing is an issue without disturbing the bridge, make a loop from an old 3rd string you send from the back hole to the front to pull the new string through, or use a small gauge crochet needle etc if you can get one, saves a lot of time.