Ok, I'm going to do it: I'm going to make a Hide adjustment, like everyone else. My changes in bold:
With the Hide action, you try to conceal yourself. To do so, you must succeed on a DC 15 Dexterity (Stealth) check while you're Heavily Obscured or behind Three-Quarters Cover or Total Cover, and you must be out of any enemy's line of sight; if you can see a creature, you can discern whether it can see you.
On a successful check, you have the Invisible condition. Make note of your check's total, which is the DC for a creature to find you with a Wisdom (Perception) check.
Hidden: while hidden from a creature, it is not aware of your location.
You stop being hidden immediately after any of the following occurs: you make a sound louder than a whisper; an enemy finds you by taking the Search action, moving into your location, or other situations the DM judges appropriate; you make an attack roll; you cast a spell with a Verbal component.
Things I am tempted to add:
an enemy finds you by taking the Search action, moving into your location, an enemy has unblocked line of sight to you during its turn, or other situations the DM judges appropriate
This is tricky because I'm trying to do what everyone else is trying to do: make it so that you can sneak out on your turn, but a monster can also find you by moving. What it misses is a monster being moved not-on-its-turn, who happens to be placed where it can see you. But I'm ok with it not noticing until its turn. It also leaves it open for things like standing in a river: you aren't within unblocked line of sight, but you are clearly revealing yourself.
Hidden: while hidden from a creature, it is not aware of your location. It is possible to be hidden from some creatures and not others.
Technically not necessary, it just seems worth calling out that you can be hidden from enemies and not allies, or some enemies and not others (if they cannot communicate after finding you). You can also be "hidden" from guards while walking past them while other people in the street can see you.
To do so, you must succeed on a DC 15 Dexterity (Stealth) check while you're Heavily Obscured or behind Three-Quarters Cover or Total Cover, and you must be out of any enemy's line of sight; if you can see a creature, you can discern whether it can see you. A distracted creature may not have line of sight to you even if it normally would.
Technically unnecessary and probably opening a can of worms, but it seems worth calling out that distraction hinders line of sight.