Where I live, the water is mountain fresh and soft.
For years I have done the "Dawn" protocol, but first, spin the subject record
a few times under strong-running cold tap water, to remove any loose stuff and to get the platter fully wet.
I then use my dish-washing solution (Dawn seems to be a world-beater, and is also used on expensive cars, to remove built-up wax/grime, etc) squirted onto a soft dish-sponge, which is rubbed around the disc a few times, depending upon the condition of the record.
I then rinse off the soapy film by again spinning the record under cold tapwater, until the bubbles disappear.
I then shake-off as much water as possible, and stand-up the disc(s) in my bathtub, to air dry.
The labels do NOT suffer in any apparent way (perhaps contrary to some imagined consequences).
As somebody posted, on some other thread, around here: vinyl is TOUGH stuff! I never play a pre-owned record before cleaning it, in this manner, and some would argue that any new album should be washed before it's initiallt played.